id	sid	eid	entity	type
ejpam-1851	1	1	output.dvi european journal	ORG
ejpam-1851	2	1	7	CARDINAL
ejpam-1851	2	2	4, 2014	DATE
ejpam-1851	2	3	472	CARDINAL
ejpam-1851	2	4	four	CARDINAL
ejpam-1851	2	5	jacqueline rojas1,∗	PERSON
ejpam-1851	2	6	mendoza2 1	DATE
ejpam-1851	2	7	ccen departamento de matemática	PERSON
ejpam-1851	2	8	cidade universitária	ORG
ejpam-1851	2	9	58051	CARDINAL
ejpam-1851	2	10	joão pessoa	PERSON
ejpam-1851	2	11	brasil 2 ccen departamento de matemática	FAC
ejpam-1851	2	12	ufpe	GPE
ejpam-1851	2	13	cidade universitária	ORG
ejpam-1851	2	14	50740-540	DATE
ejpam-1851	3	1	four	CARDINAL
ejpam-1851	4	1	1	CARDINAL
ejpam-1851	6	1	4	CARDINAL
ejpam-1851	6	2	quadric	ORG
ejpam-1851	6	3	1	CARDINAL
ejpam-1851	7	1	λ = p1	PERSON
ejpam-1851	9	1	four	CARDINAL
ejpam-1851	10	1	four	CARDINAL
ejpam-1851	11	1	schubert	PERSON
ejpam-1851	11	2	3	CARDINAL
ejpam-1851	11	3	four	CARDINAL
ejpam-1851	12	1	2	CARDINAL
ejpam-1851	12	2	272	CARDINAL
ejpam-1851	12	3	3	CARDINAL
ejpam-1851	12	4	746	CARDINAL
ejpam-1851	12	5	4	CARDINAL
ejpam-1851	13	1	four	CARDINAL
ejpam-1851	13	2	3	CARDINAL
ejpam-1851	14	1	two	CARDINAL
ejpam-1851	14	2	3	CARDINAL
ejpam-1851	15	1	2010	DATE
ejpam-1851	15	2	14n05	CARDINAL
ejpam-1851	15	3	14n20	CARDINAL
ejpam-1851	15	4	quadric	ORG
ejpam-1851	15	5	linear span	ORG
ejpam-1851	15	6	4	CARDINAL
ejpam-1851	16	1	1	CARDINAL
ejpam-1851	16	2	german	NORP
ejpam-1851	16	3	geometer julius	PERSON
ejpam-1851	16	4	18011868	CARDINAL
ejpam-1851	16	5	the 19th century	DATE
ejpam-1851	16	6	six	CARDINAL
ejpam-1851	16	7	3	CARDINAL
ejpam-1851	17	1	4	CARDINAL
ejpam-1851	17	2	3	CARDINAL
ejpam-1851	17	3	3	CARDINAL
ejpam-1851	18	1	3	CARDINAL
ejpam-1851	18	2	four	CARDINAL
ejpam-1851	19	1	two	CARDINAL
ejpam-1851	19	2	4	CARDINAL
ejpam-1851	19	3	14.7.2	CARDINAL
ejpam-1851	19	4	272	CARDINAL
ejpam-1851	19	5	3	CARDINAL
ejpam-1851	22	1	algebraic geometry	ORG
ejpam-1851	24	1	jacq@mat.ufpb.br	PERSON
ejpam-1851	24	2	j. rojas	PERSON
ejpam-1851	24	3	r. mendoza	PERSON
ejpam-1851	25	1	472	CARDINAL
ejpam-1851	26	1	2014	DATE
ejpam-1851	27	1	j. rojas	PERSON
ejpam-1851	27	2	r. mendoza	PERSON
ejpam-1851	28	1	j. pure	PERSON
ejpam-1851	28	2	7 (2014	DATE
ejpam-1851	28	3	472-485 473	QUANTITY
ejpam-1851	30	1	8	CARDINAL
ejpam-1851	31	1	four	CARDINAL
ejpam-1851	31	2	one	CARDINAL
ejpam-1851	31	3	4	CARDINAL
ejpam-1851	31	4	3.1	CARDINAL
ejpam-1851	32	1	four	CARDINAL
ejpam-1851	34	1	four	CARDINAL
ejpam-1851	35	1	one	CARDINAL
ejpam-1851	35	2	2.1	CARDINAL
ejpam-1851	35	3	3.1	CARDINAL
ejpam-1851	37	1	1847	DATE
ejpam-1851	37	2	bonn	GPE
ejpam-1851	38	1	gustav kirchhoff	ORG
ejpam-1851	38	2	robert wilhelm bunsen	PERSON
ejpam-1851	39	1	johann hittorf	PERSON
ejpam-1851	39	2	first	ORDINAL
ejpam-1851	39	3	three	CARDINAL
ejpam-1851	39	4	a few months	DATE
ejpam-1851	40	1	2	CARDINAL
ejpam-1851	45	1	∈	ORG
ejpam-1851	46	1	k-grassmannian	ORG
ejpam-1851	47	1	integer k	PERSON
ejpam-1851	47	2	0≤	CARDINAL
ejpam-1851	47	3	k-grassmannian	ORG
ejpam-1851	48	1	1	CARDINAL
ejpam-1851	48	2	1-grassmannian	QUANTITY
ejpam-1851	56	1	w ∈ gk+1(v	ORG
ejpam-1851	56	2	⊆	CARDINAL
ejpam-1851	56	3	k-linear	ORG
ejpam-1851	57	1	k-linear	ORG
ejpam-1851	60	1	4	CARDINAL
ejpam-1851	60	2	4	CARDINAL
ejpam-1851	60	3	3	CARDINAL
ejpam-1851	60	4	2	CARDINAL
ejpam-1851	61	1	4	CARDINAL
ejpam-1851	61	2	3	CARDINAL
ejpam-1851	62	1	j. rojas	PERSON
ejpam-1851	62	2	r. mendoza	PERSON
ejpam-1851	63	1	j. pure	PERSON
ejpam-1851	63	2	7 (2014	DATE
ejpam-1851	63	3	472-485 474	QUANTITY
ejpam-1851	63	4	algebraic projective	ORG
ejpam-1851	64	1	k-linear	ORG
ejpam-1851	67	1	x0	ORG
ejpam-1851	70	1	0	CARDINAL
ejpam-1851	70	2	c[x	PRODUCT
ejpam-1851	70	3	x0	ORG
ejpam-1851	73	1	zero	CARDINAL
ejpam-1851	78	1	l ∈ c[x ]1	ORG
ejpam-1851	78	2	∈	ORG
ejpam-1851	81	1	1	CARDINAL
ejpam-1851	85	1	algebraic projective	ORG
ejpam-1851	85	2	f1	PERSON
ejpam-1851	91	1	n > r.	PERSON
ejpam-1851	96	1	w ∈ gr+1(c	ORG
ejpam-1851	102	1	7→	CARDINAL
ejpam-1851	103	1	w 0	EVENT
ejpam-1851	103	2	w	GPE
ejpam-1851	103	3	ϕ(w 0	GPE
ejpam-1851	103	4	c[x ]1	PRODUCT
ejpam-1851	105	1	ϕ(w 0	GPE
ejpam-1851	109	1	2	CARDINAL
ejpam-1851	110	1	1	CARDINAL
ejpam-1851	112	1	j. rojas	PERSON
ejpam-1851	112	2	r. mendoza	PERSON
ejpam-1851	113	1	j. pure	PERSON
ejpam-1851	113	2	7 (2014	DATE
ejpam-1851	113	3	472-485 475	MONEY
ejpam-1851	113	4	1	CARDINAL
ejpam-1851	113	5	6=	CARDINAL
ejpam-1851	113	6	2	CARDINAL
ejpam-1851	113	7	2	CARDINAL
ejpam-1851	115	1	1	CARDINAL
ejpam-1851	115	2	first	ORDINAL
ejpam-1851	115	3	2	CARDINAL
ejpam-1851	115	4	7.2	CARDINAL
ejpam-1851	115	5	48	CARDINAL
ejpam-1851	115	6	5	CARDINAL
ejpam-1851	116	1	2	CARDINAL
ejpam-1851	123	1	un	ORG
ejpam-1851	123	2	n ∑ i=0	ORG
ejpam-1851	126	1	•	CARDINAL
ejpam-1851	126	2	euler	PERSON
ejpam-1851	126	3	∑n i=0	ORG
ejpam-1851	127	1	∈	ORG
ejpam-1851	128	1	•	CARDINAL
ejpam-1851	129	1	6∈	CARDINAL
ejpam-1851	130	1	∈	ORG
ejpam-1851	132	1	4	CARDINAL
ejpam-1851	132	2	411	CARDINAL
ejpam-1851	132	3	2	CARDINAL
ejpam-1851	132	4	2 3	DATE
ejpam-1851	132	5	two	CARDINAL
ejpam-1851	134	1	two	CARDINAL
ejpam-1851	134	2	two	CARDINAL
ejpam-1851	135	1	2.1	CARDINAL
ejpam-1851	135	2	3	CARDINAL
ejpam-1851	135	3	•	CARDINAL
ejpam-1851	135	4	two	CARDINAL
ejpam-1851	137	1	two	CARDINAL
ejpam-1851	138	1	• quadric cone	QUANTITY
ejpam-1851	141	1	•	CARDINAL
ejpam-1851	142	1	two	CARDINAL
ejpam-1851	143	1	2.15	CARDINAL
ejpam-1851	144	1	5	CARDINAL
ejpam-1851	145	1	478	CARDINAL
ejpam-1851	145	2	4	CARDINAL
ejpam-1851	145	3	8	CARDINAL
ejpam-1851	146	1	j. rojas	PERSON
ejpam-1851	146	2	r. mendoza	PERSON
ejpam-1851	147	1	j. pure	PERSON
ejpam-1851	147	2	7 (2014	DATE
ejpam-1851	147	3	472-485 476	QUANTITY
ejpam-1851	147	4	1	CARDINAL
ejpam-1851	148	1	p3.	GPE
ejpam-1851	149	1	two	CARDINAL
ejpam-1851	150	1	lp}p∈p1 andm	PERSON
ejpam-1851	150	2	1	CARDINAL
ejpam-1851	150	3	lq ∈ l	PERSON
ejpam-1851	150	4	mq ∈m	PERSON
ejpam-1851	150	5	6=	CARDINAL
ejpam-1851	151	1	2	CARDINAL
ejpam-1851	151	2	mq ∈m	ORG
ejpam-1851	152	1	3	CARDINAL
ejpam-1851	152	2	ℓ ∈ l or ℓ ∈m	ORG
ejpam-1851	153	1	4	CARDINAL
ejpam-1851	153	2	∈q	ORG
ejpam-1851	154	1	one	CARDINAL
ejpam-1851	154	2	1	CARDINAL
ejpam-1851	155	1	2	CARDINAL
ejpam-1851	156	1	ℓi ∩ ℓ j	ORG
ejpam-1851	156	2	1≤	CARDINAL
ejpam-1851	159	1	3	CARDINAL
ejpam-1851	159	2	1,2,3	DATE
ejpam-1851	159	3	2	CARDINAL
ejpam-1851	159	4	0	CARDINAL
ejpam-1851	160	1	3	CARDINAL
ejpam-1851	160	2	2	CARDINAL
ejpam-1851	160	3	1	CARDINAL
ejpam-1851	161	1	w	GPE
ejpam-1851	162	1	2	CARDINAL
ejpam-1851	162	2	q.	GPE
ejpam-1851	162	3	three	CARDINAL
ejpam-1851	162	4	3	CARDINAL
ejpam-1851	162	5	3	CARDINAL
ejpam-1851	166	1	u0 ∧	ORG
ejpam-1851	166	2	.∧	DATE
ejpam-1851	167	1	uk	GPE
ejpam-1851	169	1	uk	GPE
ejpam-1851	172	1	ei ∧ e j}1≤i	ORG
ejpam-1851	172	2	4	CARDINAL
ejpam-1851	172	3	4	CARDINAL
ejpam-1851	172	4	i=1	GPE
ejpam-1851	173	1	us	GPE
ejpam-1851	174	1	4	CARDINAL
ejpam-1851	174	2	wi	ORG
ejpam-1851	176	1	j vi	PERSON
ejpam-1851	178	1	3	CARDINAL
ejpam-1851	179	1	7−→[w01	CARDINAL
ejpam-1851	180	1	1	CARDINAL
ejpam-1851	180	2	3	CARDINAL
ejpam-1851	181	1	3	CARDINAL
ejpam-1851	181	2	1	CARDINAL
ejpam-1851	181	3	3	CARDINAL
ejpam-1851	182	1	⊂	GPE
ejpam-1851	182	2	− x1x4	PERSON
ejpam-1851	183	1	∈	ORG
ejpam-1851	183	2	c[x	PRODUCT
ejpam-1851	183	3	5	CARDINAL
ejpam-1851	184	1	j. rojas	PERSON
ejpam-1851	184	2	r. mendoza	PERSON
ejpam-1851	185	1	j. pure	PERSON
ejpam-1851	185	2	7 (2014	DATE
ejpam-1851	185	3	472-485 477	QUANTITY
ejpam-1851	186	1	11	CARDINAL
ejpam-1851	186	2	409	CARDINAL
ejpam-1851	186	3	2	CARDINAL
ejpam-1851	186	4	209	CARDINAL
ejpam-1851	186	5	4	CARDINAL
ejpam-1851	187	1	3	CARDINAL
ejpam-1851	189	1	1	CARDINAL
ejpam-1851	190	1	1	CARDINAL
ejpam-1851	193	1	x0 + x5	ORG
ejpam-1851	195	1	x0− x5	ORG
ejpam-1851	195	2	x1+ x4	ORG
ejpam-1851	195	3	1	CARDINAL
ejpam-1851	195	4	196	CARDINAL
ejpam-1851	195	5	6	CARDINAL
ejpam-1851	196	1	3.1	CARDINAL
ejpam-1851	197	1	linear	ORG
ejpam-1851	198	1	3	CARDINAL
ejpam-1851	199	1	5	CARDINAL
ejpam-1851	199	2	6	DATE
ejpam-1851	199	3	1	CARDINAL
ejpam-1851	201	1	∈	ORG
ejpam-1851	201	2	2	CARDINAL
ejpam-1851	202	1	λ ⊂ z	ORG
ejpam-1851	202	2	2r	CARDINAL
ejpam-1851	207	1	2	CARDINAL
ejpam-1851	212	1	w=	PERSON
ejpam-1851	214	1	∈	ORG
ejpam-1851	214	2	w	GPE
ejpam-1851	215	1	∩	PERSON
ejpam-1851	215	2	wi	GPE
ejpam-1851	215	3	0	CARDINAL
ejpam-1851	218	1	1−	CARDINAL
ejpam-1851	219	1	r.	NORP
ejpam-1851	221	1	g(w	ORG
ejpam-1851	221	2	w	GPE
ejpam-1851	222	1	λ ⊂ z	ORG
ejpam-1851	224	1	w ⊆	CARDINAL
ejpam-1851	224	2	λ ⊂ z	ORG
ejpam-1851	224	3	1	CARDINAL
ejpam-1851	225	1	2	CARDINAL
ejpam-1851	225	2	1	CARDINAL
ejpam-1851	225	3	2r	CARDINAL
ejpam-1851	229	1	two	CARDINAL
ejpam-1851	229	2	ℓ1,ℓ2	ORG
ejpam-1851	229	3	ℓ1,ℓ2	ORG
ejpam-1851	229	4	3	CARDINAL
ejpam-1851	230	1	quadric q.	ORG
ejpam-1851	231	1	π ⊂ p3	ORG
ejpam-1851	232	1	¦ ℓ ∈	PERSON
ejpam-1851	232	2	3	CARDINAL
ejpam-1851	232	3	∈ ℓ ⊂	ORG
ejpam-1851	234	1	j. rojas	PERSON
ejpam-1851	234	2	r. mendoza	PERSON
ejpam-1851	235	1	j. pure	PERSON
ejpam-1851	235	2	7 (2014	DATE
ejpam-1851	235	3	472-485 478	QUANTITY
ejpam-1851	236	1	3	CARDINAL
ejpam-1851	236	2	1	CARDINAL
ejpam-1851	238	1	two	CARDINAL
ejpam-1851	239	1	∈	ORG
ejpam-1851	240	1	quadric q.	ORG
ejpam-1851	240	2	two	CARDINAL
ejpam-1851	242	1	3= g2(p 3	DATE
ejpam-1851	243	1	π ⊂ p3	ORG
ejpam-1851	244	1	¦ ℓ ∈	PERSON
ejpam-1851	244	2	3	CARDINAL
ejpam-1851	244	3	∈	ORG
ejpam-1851	244	4	ω(π	GPE
ejpam-1851	245	1	¦ ℓ ∈	PERSON
ejpam-1851	245	2	3	CARDINAL
ejpam-1851	245	3	ℓ ⊂	ORG
ejpam-1851	248	1	3	CARDINAL
ejpam-1851	248	2	1	CARDINAL
ejpam-1851	249	1	ω(π	GPE
ejpam-1851	249	2	3	CARDINAL
ejpam-1851	252	1	0,1,2	CARDINAL
ejpam-1851	252	2	three	CARDINAL
ejpam-1851	254	1	4.	CARDINAL
ejpam-1851	254	2	four	CARDINAL
ejpam-1851	255	1	〈p1	PERSON
ejpam-1851	261	1	〈p,ℓ〉= ℓ	PERSON
ejpam-1851	261	2	∈	ORG
ejpam-1851	261	3	3	CARDINAL
ejpam-1851	262	1	four	CARDINAL
ejpam-1851	264	1	1	CARDINAL
ejpam-1851	265	1	4	CARDINAL
ejpam-1851	265	2	1	CARDINAL
ejpam-1851	266	1	〈p1	PERSON
ejpam-1851	266	2	⊂	GPE
ejpam-1851	266	3	5	CARDINAL
ejpam-1851	267	1	4	CARDINAL
ejpam-1851	267	2	schubert calculus	ORG
ejpam-1851	267	3	3	CARDINAL
ejpam-1851	268	1	6=	CARDINAL
ejpam-1851	268	2	1≤ i ≤ 4	MONEY
ejpam-1851	269	1	three	CARDINAL
ejpam-1851	270	1	4.1	CARDINAL
ejpam-1851	270	2	4.2	CARDINAL
ejpam-1851	270	3	4.3	CARDINAL
ejpam-1851	272	1	ω(π	GPE
ejpam-1851	272	2	5	CARDINAL
ejpam-1851	272	3	6	DATE
ejpam-1851	273	1	j. rojas	PERSON
ejpam-1851	273	2	r. mendoza	PERSON
ejpam-1851	274	1	j. pure	PERSON
ejpam-1851	274	2	7 (2014	DATE
ejpam-1851	274	3	472-485 479 4.1	QUANTITY
ejpam-1851	275	1	four	CARDINAL
ejpam-1851	276	1	1	CARDINAL
ejpam-1851	276	2	four	CARDINAL
ejpam-1851	277	1	1.1	CARDINAL
ejpam-1851	277	2	1.2	CARDINAL
ejpam-1851	277	3	1.1	CARDINAL
ejpam-1851	278	1	ℓ ∈ s	ORG
ejpam-1851	278	2	6∈	CARDINAL
ejpam-1851	278	3	two	CARDINAL
ejpam-1851	278	4	ℓ ⊂ π	ORG
ejpam-1851	279	1	ω(π	GPE
ejpam-1851	280	1	1	CARDINAL
ejpam-1851	281	1	4	DATE
ejpam-1851	281	2	1	CARDINAL
ejpam-1851	281	3	1.1 4.2	CARDINAL
ejpam-1851	282	1	four	CARDINAL
ejpam-1851	282	2	at least two	CARDINAL
ejpam-1851	284	1	2	CARDINAL
ejpam-1851	284	2	four	CARDINAL
ejpam-1851	284	3	at least two	CARDINAL
ejpam-1851	285	1	2.1	CARDINAL
ejpam-1851	285	2	the plane π ω(π	ORG
ejpam-1851	285	3	2.1	CARDINAL
ejpam-1851	286	1	four	CARDINAL
ejpam-1851	286	2	at least two	CARDINAL
ejpam-1851	288	1	four	CARDINAL
ejpam-1851	288	2	three	CARDINAL
ejpam-1851	288	3	four	CARDINAL
ejpam-1851	289	1	λ ≡ ω(π	ORG
ejpam-1851	289	2	q. j. rojas	PERSON
ejpam-1851	289	3	r. mendoza	PERSON
ejpam-1851	290	1	j. pure	PERSON
ejpam-1851	290	2	7 (2014	DATE
ejpam-1851	290	3	472-485 480	QUANTITY
ejpam-1851	290	4	3	CARDINAL
ejpam-1851	290	5	2.2	CARDINAL
ejpam-1851	290	6	three	CARDINAL
ejpam-1851	291	1	ℓ1,ℓ2	ORG
ejpam-1851	292	1	2.2.1	CARDINAL
ejpam-1851	293	1	two	CARDINAL
ejpam-1851	293	2	2.2.2	CARDINAL
ejpam-1851	293	3	3	CARDINAL
ejpam-1851	293	4	two	CARDINAL
ejpam-1851	293	5	2.2.1	CARDINAL
ejpam-1851	293	6	two	CARDINAL
ejpam-1851	294	1	ℓ ⊂	ORG
ejpam-1851	295	1	p,ℓ4	PERSON
ejpam-1851	297	1	∪ωp(〈p,ℓ4	DATE
ejpam-1851	297	2	two	CARDINAL
ejpam-1851	298	1	6∈	CARDINAL
ejpam-1851	298	2	6∈	CARDINAL
ejpam-1851	298	3	q.	GPE
ejpam-1851	299	1	⊂	GPE
ejpam-1851	299	2	6∈	CARDINAL
ejpam-1851	299	3	two	CARDINAL
ejpam-1851	301	1	4	CARDINAL
ejpam-1851	301	2	2.3	CARDINAL
ejpam-1851	301	3	three	CARDINAL
ejpam-1851	301	4	at least two	CARDINAL
ejpam-1851	301	5	6=	CARDINAL
ejpam-1851	301	6	i.	PERSON
ejpam-1851	303	1	ℓ1,ℓ2	ORG
ejpam-1851	304	1	2.3.1	CARDINAL
ejpam-1851	304	2	two	CARDINAL
ejpam-1851	304	3	2.3.2	CARDINAL
ejpam-1851	304	4	3	CARDINAL
ejpam-1851	304	5	two	CARDINAL
ejpam-1851	304	6	2.3.3	CARDINAL
ejpam-1851	304	7	6∈	CARDINAL
ejpam-1851	304	8	3	CARDINAL
ejpam-1851	304	9	2	CARDINAL
ejpam-1851	304	10	2.3.3 2.3.3	CARDINAL
ejpam-1851	305	1	two	CARDINAL
ejpam-1851	306	1	∈	ORG
ejpam-1851	306	2	two	CARDINAL
ejpam-1851	306	3	ℓ ⊂	ORG
ejpam-1851	306	4	∩π2	GPE
ejpam-1851	307	1	∈	ORG
ejpam-1851	307	2	q.	PERSON
ejpam-1851	307	3	∈	ORG
ejpam-1851	307	4	j. rojas	PERSON
ejpam-1851	307	5	r. mendoza	PERSON
ejpam-1851	308	1	j. pure	PERSON
ejpam-1851	308	2	7 (2014	DATE
ejpam-1851	308	3	472-485 481	QUANTITY
ejpam-1851	308	4	6∈	CARDINAL
ejpam-1851	308	5	6∈	CARDINAL
ejpam-1851	308	6	two	CARDINAL
ejpam-1851	308	7	ℓ ⊂	ORG
ejpam-1851	308	8	ℓ ⊂	ORG
ejpam-1851	309	1	∩π2	GPE
ejpam-1851	309	2	⊂	GPE
ejpam-1851	309	3	6∈	CARDINAL
ejpam-1851	309	4	3,4	CARDINAL
ejpam-1851	310	1	〈p1	PERSON
ejpam-1851	310	2	6∈	CARDINAL
ejpam-1851	310	3	3,4	CARDINAL
ejpam-1851	311	1	〈p3	PERSON
ejpam-1851	311	2	〈p1	PERSON
ejpam-1851	312	1	3	CARDINAL
ejpam-1851	313	1	four	CARDINAL
ejpam-1851	313	2	two	CARDINAL
ejpam-1851	313	3	two	CARDINAL
ejpam-1851	314	1	two	CARDINAL
ejpam-1851	316	1	l3,4 ⊂	ORG
ejpam-1851	317	1	ω(π1	CARDINAL
ejpam-1851	317	2	ω(π2	PRODUCT
ejpam-1851	320	1	5	CARDINAL
ejpam-1851	320	2	2.4	CARDINAL
ejpam-1851	320	3	three	CARDINAL
ejpam-1851	320	4	at least two	CARDINAL
ejpam-1851	322	1	ℓ1,ℓ2	ORG
ejpam-1851	323	1	1	CARDINAL
ejpam-1851	323	2	2	CARDINAL
ejpam-1851	323	3	ωp(〈p,ℓ4	CARDINAL
ejpam-1851	323	4	3	CARDINAL
ejpam-1851	323	5	two	CARDINAL
ejpam-1851	323	6	2.4.2	ORG
ejpam-1851	323	7	6=	CARDINAL
ejpam-1851	324	1	3	CARDINAL
ejpam-1851	324	2	two	CARDINAL
ejpam-1851	324	3	#	CARDINAL
ejpam-1851	324	4	3-plane quadric cone	QUANTITY
ejpam-1851	324	5	2.4.4	CARDINAL
ejpam-1851	324	6	6=	CARDINAL
ejpam-1851	324	7	r2 ¦	PERSON
ejpam-1851	324	8	3	CARDINAL
ejpam-1851	324	9	2.4.4	CARDINAL
ejpam-1851	325	1	two	CARDINAL
ejpam-1851	325	2	6∈	CARDINAL
ejpam-1851	325	3	6=	CARDINAL
ejpam-1851	326	1	ℓ ∩ ℓ3 ⊂	ORG
ejpam-1851	326	2	ℓ∩ ℓ4 ⊂	ORG
ejpam-1851	327	1	6=	CARDINAL
ejpam-1851	328	1	ℓ ⊂	ORG
ejpam-1851	329	1	ℓ∩ ℓ4 ⊂	ORG
ejpam-1851	330	1	r2	PERSON
ejpam-1851	331	1	2.3.3	CARDINAL
ejpam-1851	331	2	〈p1	PERSON
ejpam-1851	331	3	q.	GPE
ejpam-1851	332	1	〈p1	PERSON
ejpam-1851	332	2	〈p1	PERSON
ejpam-1851	334	1	6∈	CARDINAL
ejpam-1851	335	1	3	CARDINAL
ejpam-1851	336	1	four	CARDINAL
ejpam-1851	336	2	〈p1	PERSON
ejpam-1851	336	3	6⊂	CARDINAL
ejpam-1851	336	4	l1,4	GPE
ejpam-1851	336	5	two	CARDINAL
ejpam-1851	337	1	two	CARDINAL
ejpam-1851	338	1	⊂	GPE
ejpam-1851	339	1	l2,3	PERSON
ejpam-1851	339	2	l2,3	PERSON
ejpam-1851	340	1	6∈	MONEY
ejpam-1851	340	2	⊂	GPE
ejpam-1851	341	1	l2,4	ORG
ejpam-1851	342	1	6∈	CARDINAL
ejpam-1851	344	1	j. rojas	PERSON
ejpam-1851	344	2	r. mendoza	PERSON
ejpam-1851	345	1	j. pure	PERSON
ejpam-1851	345	2	7 (2014	DATE
ejpam-1851	345	3	472-485 482	QUANTITY
ejpam-1851	345	4	3	CARDINAL
ejpam-1851	345	5	2.4.4	CARDINAL
ejpam-1851	345	6	6	CARDINAL
ejpam-1851	345	7	2.5	CARDINAL
ejpam-1851	345	8	two	CARDINAL
ejpam-1851	346	1	3	CARDINAL
ejpam-1851	346	2	4	DATE
ejpam-1851	346	3	6=	CARDINAL
ejpam-1851	348	1	2.5.1	CARDINAL
ejpam-1851	348	2	ωp(〈p,ℓ4	CARDINAL
ejpam-1851	348	3	3	CARDINAL
ejpam-1851	348	4	two	CARDINAL
ejpam-1851	348	5	2.5.2 #	MONEY
ejpam-1851	348	6	3	CARDINAL
ejpam-1851	348	7	¦	PERSON
ejpam-1851	349	1	3-plane quadric cone	QUANTITY
ejpam-1851	349	2	2.5.3	CARDINAL
ejpam-1851	349	3	6∈	CARDINAL
ejpam-1851	349	4	3	CARDINAL
ejpam-1851	349	5	∩ 〈	WORK_OF_ART
ejpam-1851	349	6	3	CARDINAL
ejpam-1851	349	7	2.5.3	CARDINAL
ejpam-1851	349	8	two	CARDINAL
ejpam-1851	352	1	ℓ∩ ℓi ⊂	PERSON
ejpam-1851	352	2	3,4	CARDINAL
ejpam-1851	353	1	6⊂	CARDINAL
ejpam-1851	354	1	1,2	CARDINAL
ejpam-1851	354	2	∈	ORG
ejpam-1851	354	3	⊂	GPE
ejpam-1851	354	4	⊂	GPE
ejpam-1851	354	5	3,4	CARDINAL
ejpam-1851	354	6	6=	CARDINAL
ejpam-1851	354	7	6∈	CARDINAL
ejpam-1851	354	8	3,4	CARDINAL
ejpam-1851	354	9	3,4	CARDINAL
ejpam-1851	355	1	p,ℓ3	PRODUCT
ejpam-1851	355	2	∩ 〈p,ℓ4	WORK_OF_ART
ejpam-1851	355	3	6∈	CARDINAL
ejpam-1851	355	4	⊂	GPE
ejpam-1851	355	5	3,4	CARDINAL
ejpam-1851	356	1	〈p1	PERSON
ejpam-1851	356	2	6∈ ℓ3 6⊂	MONEY
ejpam-1851	357	1	〈p1	PERSON
ejpam-1851	357	2	∈ 〈p1	PRODUCT
ejpam-1851	358	1	〈p1	PERSON
ejpam-1851	359	1	6∈	CARDINAL
ejpam-1851	360	1	6∈	CARDINAL
ejpam-1851	361	1	3	CARDINAL
ejpam-1851	362	1	four	CARDINAL
ejpam-1851	362	2	two	CARDINAL
ejpam-1851	363	1	two	CARDINAL
ejpam-1851	364	1	⊂	GPE
ejpam-1851	365	1	l2,3	PERSON
ejpam-1851	365	2	6⊂	CARDINAL
ejpam-1851	365	3	l2,3	PERSON
ejpam-1851	366	1	6∈	MONEY
ejpam-1851	366	2	⊂	GPE
ejpam-1851	367	1	∈	ORG
ejpam-1851	367	2	l2,4	ORG
ejpam-1851	367	3	2,3	CARDINAL
ejpam-1851	369	1	j. rojas	PERSON
ejpam-1851	369	2	r. mendoza	PERSON
ejpam-1851	370	1	j. pure	PERSON
ejpam-1851	370	2	7 (2014	DATE
ejpam-1851	370	3	472-485 483	QUANTITY
ejpam-1851	370	4	4	CARDINAL
ejpam-1851	370	5	2.5.3 4.3	CARDINAL
ejpam-1851	371	1	2	CARDINAL
ejpam-1851	372	1	ℓi ∩ ℓ j	ORG
ejpam-1851	373	1	1 ≤	QUANTITY
ejpam-1851	375	1	1	CARDINAL
ejpam-1851	378	1	1,2,3	DATE
ejpam-1851	379	1	three	CARDINAL
ejpam-1851	380	1	2	CARDINAL
ejpam-1851	380	2	ℓ ∈m	ORG
ejpam-1851	382	1	two	CARDINAL
ejpam-1851	383	1	3.1 ℓ4 ⊂q	CARDINAL
ejpam-1851	384	1	three	CARDINAL
ejpam-1851	386	1	li	PERSON
ejpam-1851	387	1	1 ≤	QUANTITY
ejpam-1851	388	1	q.	GPE
ejpam-1851	388	2	1	CARDINAL
ejpam-1851	391	1	∈	ORG
ejpam-1851	392	1	3.2 ℓ4 6⊂q	CARDINAL
ejpam-1851	393	1	2	CARDINAL
ejpam-1851	395	1	mx	PRODUCT
ejpam-1851	396	1	4	CARDINAL
ejpam-1851	396	2	1	CARDINAL
ejpam-1851	397	1	mx	PRODUCT
ejpam-1851	397	2	∩ ℓi	PERSON
ejpam-1851	397	3	1,2,3	DATE
ejpam-1851	397	4	ℓi ∈ l	ORG
ejpam-1851	398	1	mx	PRODUCT
ejpam-1851	399	1	ℓ ∈m	ORG
ejpam-1851	399	2	∈	ORG
ejpam-1851	399	3	4	CARDINAL
ejpam-1851	399	4	1	CARDINAL
ejpam-1851	399	5	mx	PRODUCT
ejpam-1851	400	1	li	PERSON
ejpam-1851	400	2	j = pi	PERSON
ejpam-1851	400	3	1 ≤	QUANTITY
ejpam-1851	404	1	6∈	CARDINAL
ejpam-1851	405	1	3	CARDINAL
ejpam-1851	406	1	one	CARDINAL
ejpam-1851	406	2	four	CARDINAL
ejpam-1851	406	3	li	PERSON
ejpam-1851	406	4	j 6⊂	PERSON
ejpam-1851	406	5	1 ≤	QUANTITY
ejpam-1851	407	1	a quadric cone	QUANTITY
ejpam-1851	408	1	ℓ4 6⊂q	CARDINAL
ejpam-1851	408	2	q. j. rojas	PERSON
ejpam-1851	408	3	r. mendoza	PERSON
ejpam-1851	409	1	j. pure	PERSON
ejpam-1851	409	2	7 (2014	DATE
ejpam-1851	409	3	472-485 484	CARDINAL
ejpam-1851	410	1	∈	ORG
ejpam-1851	411	1	ℓ4 ⊂	ORG
ejpam-1851	411	2	〈mx	PERSON
ejpam-1851	413	1	mx	PRODUCT
ejpam-1851	414	1	the conic p1	ORG
ejpam-1851	417	1	⊂	GPE
ejpam-1851	417	2	mx	PRODUCT
ejpam-1851	418	1	li	PERSON
ejpam-1851	419	1	⊂	GPE
ejpam-1851	419	2	1	CARDINAL
ejpam-1851	421	1	4	CARDINAL
ejpam-1851	422	1	1	CARDINAL
ejpam-1851	423	1	four	CARDINAL
ejpam-1851	425	1	3	CARDINAL
ejpam-1851	425	2	6=	CARDINAL
ejpam-1851	425	3	1≤ i ≤ 4	MONEY
ejpam-1851	426	1	1	CARDINAL
ejpam-1851	428	1	4	CARDINAL
ejpam-1851	428	2	quadric	ORG
ejpam-1851	428	3	1	CARDINAL
ejpam-1851	429	1	λ = p1	PERSON
ejpam-1851	431	1	four	CARDINAL
ejpam-1851	432	1	1	CARDINAL
ejpam-1851	432	2	2	CARDINAL
ejpam-1851	435	1	2	CARDINAL
ejpam-1851	435	2	3	CARDINAL
ejpam-1851	437	1	1	CARDINAL
ejpam-1851	437	2	3	CARDINAL
ejpam-1851	438	1	3	CARDINAL
ejpam-1851	438	2	two	CARDINAL
ejpam-1851	441	1	q.	GPE
ejpam-1851	442	1	two	CARDINAL
ejpam-1851	442	2	q.	GPE
ejpam-1851	442	3	1	CARDINAL
ejpam-1851	442	4	#s	MONEY
ejpam-1851	442	5	2⇐⇒ 	DATE
ejpam-1851	442	6	three	CARDINAL
ejpam-1851	443	1	6=	CARDINAL
ejpam-1851	444	1	6∈	CARDINAL
ejpam-1851	445	1	ℓ1,ℓ2	ORG
ejpam-1851	445	2	〈ℓ3,ℓ4〉	PERSON
ejpam-1851	445	3	6=	CARDINAL
ejpam-1851	445	4	1,2	CARDINAL
ejpam-1851	445	5	1,2	CARDINAL
ejpam-1851	447	1	ℓ1,ℓ2	ORG
ejpam-1851	447	2	3,4	CARDINAL
ejpam-1851	447	3	6∈ 〈r3	QUANTITY
ejpam-1851	449	1	two	CARDINAL
ejpam-1851	450	1	485	CARDINAL
ejpam-1851	450	2	2.3.3	CARDINAL
ejpam-1851	450	3	2.4.4	CARDINAL
ejpam-1851	450	4	2.5.3	CARDINAL
ejpam-1851	450	5	4.2	CARDINAL
ejpam-1851	451	1	3.2	CARDINAL
ejpam-1851	451	2	4.3	CARDINAL
ejpam-1851	452	1	1⇐⇒ 	DATE
ejpam-1851	452	2	three	CARDINAL
ejpam-1851	453	1	6=	CARDINAL
ejpam-1851	453	2	1,2	CARDINAL
ejpam-1851	453	3	1,2	CARDINAL
ejpam-1851	453	4	r1 = r2	PERSON
ejpam-1851	453	5	#	CARDINAL
ejpam-1851	453	6	3	CARDINAL
ejpam-1851	455	1	ℓ1,ℓ2	ORG
ejpam-1851	455	2	3,4	CARDINAL
ejpam-1851	455	3	6=	DATE
ejpam-1851	457	1	one	CARDINAL
ejpam-1851	458	1	2.5.2	CARDINAL
ejpam-1851	458	2	4.2	CARDINAL
ejpam-1851	459	1	3.2	CARDINAL
ejpam-1851	459	2	4.3	CARDINAL
ejpam-1851	460	1	first	ORDINAL
ejpam-1851	460	2	i. vainsencher	PERSON
ejpam-1851	460	3	dm-ufmg	ORG
ejpam-1851	461	1	1	CARDINAL
ejpam-1851	462	1	introdução à geometria enumerativa via	ORG
ejpam-1851	462	2	teoria de deformações	PERSON
ejpam-1851	462	3	2a	CARDINAL
ejpam-1851	462	4	brasileira de matemática	ORG
ejpam-1851	462	5	salvador	GPE
ejpam-1851	462	6	da bahia	PERSON
ejpam-1851	462	7	2004	DATE
ejpam-1851	463	1	2	CARDINAL
ejpam-1851	463	2	j. little	PERSON
ejpam-1851	463	3	d. o’shea	NORP
ejpam-1851	464	1	new york	GPE
ejpam-1851	465	1	3	CARDINAL
ejpam-1851	465	2	w. fulton	PERSON
ejpam-1851	468	1	1977	DATE
ejpam-1851	469	1	4	CARDINAL
ejpam-1851	469	2	j. harris	PERSON
ejpam-1851	470	1	algebraic geometry	ORG
ejpam-1851	471	1	wiley-interscience	ORG
ejpam-1851	472	1	1994	DATE
ejpam-1851	473	1	5	CARDINAL
ejpam-1851	473	2	r. hartshorne	PERSON
ejpam-1851	474	1	algebraic	PERSON
ejpam-1851	476	1	52	DATE
ejpam-1851	476	2	new york	GPE
ejpam-1851	476	3	1977	DATE
ejpam-1851	477	1	6	CARDINAL
ejpam-1851	477	2	j. harris	PERSON
ejpam-1851	477	3	d. eisenbud	GPE
ejpam-1851	480	1	197	CARDINAL
ejpam-1851	480	2	new york	GPE
ejpam-1851	480	3	1999	DATE
ejpam-1851	481	1	7	CARDINAL
ejpam-1851	481	2	m. hohmeyer	PERSON
ejpam-1851	481	3	s. teller	PERSON
ejpam-1851	482	1	four	CARDINAL
ejpam-1851	483	1	journal of graphics tools	ORG
ejpam-1851	483	2	4(3):11–22	CARDINAL
ejpam-1851	483	3	1999	DATE
ejpam-1851	484	1	8	CARDINAL
ejpam-1851	484	2	r. mendoza	PERSON
ejpam-1851	484	3	j. rojas	PERSON
ejpam-1851	485	1	linear e o problema	ORG
ejpam-1851	485	2	das quatro	PERSON
ejpam-1851	485	3	cálculo de schubert	ORG
ejpam-1851	485	4	revista matemática universitária	PERSON
ejpam-1851	485	5	45:55–69	CARDINAL
ejpam-1851	485	6	2009	DATE