id	sid	tid	token	lemma	pos
z316pz53293	1	1	we	we	PRON
z316pz53293	1	2	compute	compute	VERB
z316pz53293	1	3	the	the	DET
z316pz53293	1	4	chern	chern	ADJ
z316pz53293	1	5	-	-	PUNCT
z316pz53293	1	6	schwartz	schwartz	NOUN
z316pz53293	1	7	-	-	PUNCT
z316pz53293	1	8	macpherson	macpherson	PROPN
z316pz53293	1	9	(	(	PUNCT
z316pz53293	1	10	csm	csm	NOUN
z316pz53293	1	11	)	)	PUNCT
z316pz53293	1	12	class	class	NOUN
z316pz53293	1	13	of	of	ADP
z316pz53293	1	14	a	a	DET
z316pz53293	1	15	schubert	schubert	NOUN
z316pz53293	1	16	variety	variety	NOUN
z316pz53293	1	17	in	in	ADP
z316pz53293	1	18	a	a	DET
z316pz53293	1	19	grassmannian	grassmannian	ADJ
z316pz53293	1	20	using	use	VERB
z316pz53293	1	21	a	a	DET
z316pz53293	1	22	small	small	ADJ
z316pz53293	1	23	resolution	resolution	NOUN
z316pz53293	1	24	introduced	introduce	VERB
z316pz53293	1	25	by	by	ADP
z316pz53293	1	26	zelevinsky	zelevinsky	NOUN
z316pz53293	1	27	.	.	PUNCT
z316pz53293	2	1	as	as	ADP
z316pz53293	2	2	a	a	DET
z316pz53293	2	3	consequence	consequence	NOUN
z316pz53293	2	4	,	,	PUNCT
z316pz53293	2	5	we	we	PRON
z316pz53293	2	6	show	show	VERB
z316pz53293	2	7	how	how	SCONJ
z316pz53293	2	8	to	to	PART
z316pz53293	2	9	compute	compute	VERB
z316pz53293	2	10	the	the	DET
z316pz53293	2	11	chern	chern	ADJ
z316pz53293	2	12	-	-	PUNCT
z316pz53293	2	13	mather	mather	NOUN
z316pz53293	2	14	class	class	NOUN
z316pz53293	2	15	using	use	VERB
z316pz53293	2	16	a	a	DET
z316pz53293	2	17	small	small	ADJ
z316pz53293	2	18	resolution	resolution	NOUN
z316pz53293	2	19	instead	instead	ADV
z316pz53293	2	20	of	of	ADP
z316pz53293	2	21	the	the	DET
z316pz53293	2	22	nash	nash	PROPN
z316pz53293	2	23	blowup	blowup	PROPN
z316pz53293	2	24	.	.	PUNCT
z316pz53293	3	1	we	we	PRON
z316pz53293	3	2	use	use	VERB
z316pz53293	3	3	these	these	DET
z316pz53293	3	4	formulas	formula	NOUN
z316pz53293	3	5	for	for	ADP
z316pz53293	3	6	csm	csm	NOUN
z316pz53293	3	7	classes	class	NOUN
z316pz53293	3	8	to	to	PART
z316pz53293	3	9	prove	prove	VERB
z316pz53293	3	10	new	new	ADJ
z316pz53293	3	11	cases	case	NOUN
z316pz53293	3	12	of	of	ADP
z316pz53293	3	13	a	a	DET
z316pz53293	3	14	positivity	positivity	ADJ
z316pz53293	3	15	conjecture	conjecture	NOUN
z316pz53293	3	16	of	of	ADP
z316pz53293	3	17	aluffi	aluffi	PROPN
z316pz53293	3	18	and	and	CCONJ
z316pz53293	3	19	mihalcea	mihalcea	PROPN
z316pz53293	3	20	.	.	PUNCT
z316pz53293	4	1	specifically	specifically	ADV
z316pz53293	4	2	,	,	PUNCT
z316pz53293	4	3	we	we	PRON
z316pz53293	4	4	show	show	VERB
z316pz53293	4	5	that	that	SCONJ
z316pz53293	4	6	codimension	codimension	NOUN
z316pz53293	4	7	1	1	NUM
z316pz53293	4	8	coefficients	coefficient	NOUN
z316pz53293	4	9	in	in	ADP
z316pz53293	4	10	the	the	DET
z316pz53293	4	11	csm	csm	NOUN
z316pz53293	4	12	class	class	NOUN
z316pz53293	4	13	of	of	ADP
z316pz53293	4	14	a	a	DET
z316pz53293	4	15	schubert	schubert	NOUN
z316pz53293	4	16	cell	cell	NOUN
z316pz53293	4	17	are	be	AUX
z316pz53293	4	18	strictly	strictly	ADV
z316pz53293	4	19	positive	positive	ADJ
z316pz53293	4	20	and	and	CCONJ
z316pz53293	4	21	give	give	VERB
z316pz53293	4	22	a	a	DET
z316pz53293	4	23	closed	closed	ADJ
z316pz53293	4	24	formula	formula	NOUN
z316pz53293	4	25	for	for	ADP
z316pz53293	4	26	them	they	PRON
z316pz53293	4	27	.	.	PUNCT