id	sid	tid	token	lemma	pos
v692t437z14	1	1	in	in	ADP
v692t437z14	1	2	this	this	DET
v692t437z14	1	3	dissertation	dissertation	NOUN
v692t437z14	1	4	we	we	PRON
v692t437z14	1	5	consider	consider	VERB
v692t437z14	1	6	certain	certain	ADJ
v692t437z14	1	7	closed	closed	ADJ
v692t437z14	1	8	subvarieties	subvarietie	NOUN
v692t437z14	1	9	of	of	ADP
v692t437z14	1	10	the	the	DET
v692t437z14	1	11	flag	flag	NOUN
v692t437z14	1	12	variety	variety	NOUN
v692t437z14	1	13	,	,	PUNCT
v692t437z14	1	14	known	know	VERB
v692t437z14	1	15	as	as	ADP
v692t437z14	1	16	hessenberg	hessenberg	NOUN
v692t437z14	1	17	varieties	variety	NOUN
v692t437z14	1	18	.	.	PUNCT
v692t437z14	2	1	we	we	PRON
v692t437z14	2	2	prove	prove	VERB
v692t437z14	2	3	that	that	SCONJ
v692t437z14	2	4	hessenberg	hessenberg	NOUN
v692t437z14	2	5	varieties	variety	NOUN
v692t437z14	2	6	corresponding	correspond	VERB
v692t437z14	2	7	to	to	ADP
v692t437z14	2	8	nilpotent	nilpotent	ADJ
v692t437z14	2	9	elements	element	NOUN
v692t437z14	2	10	which	which	PRON
v692t437z14	2	11	are	be	AUX
v692t437z14	2	12	regular	regular	ADJ
v692t437z14	2	13	in	in	ADP
v692t437z14	2	14	a	a	DET
v692t437z14	2	15	levi	levi	ADJ
v692t437z14	2	16	factor	factor	NOUN
v692t437z14	2	17	are	be	AUX
v692t437z14	2	18	paved	pave	VERB
v692t437z14	2	19	by	by	ADP
v692t437z14	2	20	affines	affine	NOUN
v692t437z14	2	21	.	.	PUNCT
v692t437z14	3	1	we	we	PRON
v692t437z14	3	2	provide	provide	VERB
v692t437z14	3	3	a	a	DET
v692t437z14	3	4	partial	partial	ADJ
v692t437z14	3	5	reduction	reduction	NOUN
v692t437z14	3	6	from	from	ADP
v692t437z14	3	7	paving	pave	VERB
v692t437z14	3	8	hessenberg	hessenberg	NOUN
v692t437z14	3	9	varieties	variety	NOUN
v692t437z14	3	10	for	for	ADP
v692t437z14	3	11	arbitrary	arbitrary	ADJ
v692t437z14	3	12	elements	element	NOUN
v692t437z14	3	13	to	to	ADP
v692t437z14	3	14	paving	pave	VERB
v692t437z14	3	15	those	those	PRON
v692t437z14	3	16	corresponding	correspond	VERB
v692t437z14	3	17	to	to	ADP
v692t437z14	3	18	nilpotent	nilpotent	ADJ
v692t437z14	3	19	elements	element	NOUN
v692t437z14	3	20	.	.	PUNCT
v692t437z14	4	1	as	as	ADP
v692t437z14	4	2	a	a	DET
v692t437z14	4	3	consequence	consequence	NOUN
v692t437z14	4	4	,	,	PUNCT
v692t437z14	4	5	we	we	PRON
v692t437z14	4	6	generalize	generalize	VERB
v692t437z14	4	7	results	result	NOUN
v692t437z14	4	8	of	of	ADP
v692t437z14	4	9	tymoczko	tymoczko	NOUN
v692t437z14	4	10	asserting	assert	VERB
v692t437z14	4	11	that	that	SCONJ
v692t437z14	4	12	hessenberg	hessenberg	NOUN
v692t437z14	4	13	varieties	variety	NOUN
v692t437z14	4	14	for	for	ADP
v692t437z14	4	15	regular	regular	ADJ
v692t437z14	4	16	nilpotent	nilpotent	ADJ
v692t437z14	4	17	elements	element	NOUN
v692t437z14	4	18	in	in	ADP
v692t437z14	4	19	the	the	DET
v692t437z14	4	20	classical	classical	ADJ
v692t437z14	4	21	cases	case	NOUN
v692t437z14	4	22	and	and	CCONJ
v692t437z14	4	23	arbitrary	arbitrary	ADJ
v692t437z14	4	24	elements	element	NOUN
v692t437z14	4	25	of	of	ADP
v692t437z14	4	26	gl_n(c	gl_n(c	SPACE
v692t437z14	4	27	)	)	PUNCT
v692t437z14	4	28	are	be	AUX
v692t437z14	4	29	paved	pave	VERB
v692t437z14	4	30	by	by	ADP
v692t437z14	4	31	affines	affine	NOUN
v692t437z14	4	32	.	.	PUNCT
v692t437z14	5	1	for	for	ADP
v692t437z14	5	2	example	example	NOUN
v692t437z14	5	3	,	,	PUNCT
v692t437z14	5	4	our	our	PRON
v692t437z14	5	5	results	result	NOUN
v692t437z14	5	6	prove	prove	VERB
v692t437z14	5	7	that	that	SCONJ
v692t437z14	5	8	any	any	DET
v692t437z14	5	9	hessenberg	hessenberg	NOUN
v692t437z14	5	10	variety	variety	NOUN
v692t437z14	5	11	corresponding	correspond	VERB
v692t437z14	5	12	to	to	ADP
v692t437z14	5	13	a	a	DET
v692t437z14	5	14	regular	regular	ADJ
v692t437z14	5	15	element	element	NOUN
v692t437z14	5	16	is	be	AUX
v692t437z14	5	17	paved	pave	VERB
v692t437z14	5	18	by	by	ADP
v692t437z14	5	19	affines	affine	NOUN
v692t437z14	5	20	.	.	PUNCT
v692t437z14	6	1	as	as	ADP
v692t437z14	6	2	a	a	DET
v692t437z14	6	3	corollary	corollary	NOUN
v692t437z14	6	4	,	,	PUNCT
v692t437z14	6	5	in	in	ADP
v692t437z14	6	6	all	all	DET
v692t437z14	6	7	these	these	DET
v692t437z14	6	8	cases	case	NOUN
v692t437z14	6	9	the	the	DET
v692t437z14	6	10	hessenberg	hessenberg	NOUN
v692t437z14	6	11	variety	variety	NOUN
v692t437z14	6	12	has	have	VERB
v692t437z14	6	13	no	no	DET
v692t437z14	6	14	odd	odd	ADJ
v692t437z14	6	15	dimensional	dimensional	ADJ
v692t437z14	6	16	cohomology	cohomology	NOUN
v692t437z14	6	17	.	.	PUNCT