id	sid	tid	token	lemma	pos
qv33rv06g35	1	1	hodge	hodge	PROPN
qv33rv06g35	1	2	spectrum	spectrum	NOUN
qv33rv06g35	1	3	is	be	AUX
qv33rv06g35	1	4	one	one	NUM
qv33rv06g35	1	5	of	of	ADP
qv33rv06g35	1	6	the	the	DET
qv33rv06g35	1	7	most	most	ADV
qv33rv06g35	1	8	important	important	ADJ
qv33rv06g35	1	9	invariants	invariant	NOUN
qv33rv06g35	1	10	of	of	ADP
qv33rv06g35	1	11	hypersurface	hypersurface	NOUN
qv33rv06g35	1	12	singularities	singularity	NOUN
qv33rv06g35	1	13	and	and	CCONJ
qv33rv06g35	1	14	a	a	DET
qv33rv06g35	1	15	hyperplane	hyperplane	NOUN
qv33rv06g35	1	16	arrangement	arrangement	NOUN
qv33rv06g35	1	17	contains	contain	VERB
qv33rv06g35	1	18	the	the	DET
qv33rv06g35	1	19	simplest	simplest	ADV
qv33rv06g35	1	20	higher	high	ADJ
qv33rv06g35	1	21	dimensional	dimensional	ADJ
qv33rv06g35	1	22	singular	singular	ADJ
qv33rv06g35	1	23	set	set	NOUN
qv33rv06g35	1	24	.	.	PUNCT
qv33rv06g35	2	1	it	it	PRON
qv33rv06g35	2	2	is	be	AUX
qv33rv06g35	2	3	known	know	VERB
qv33rv06g35	2	4	that	that	SCONJ
qv33rv06g35	2	5	the	the	DET
qv33rv06g35	2	6	hodge	hodge	NOUN
qv33rv06g35	2	7	spectra	spectra	NOUN
qv33rv06g35	2	8	of	of	ADP
qv33rv06g35	2	9	hyperplane	hyperplane	NOUN
qv33rv06g35	2	10	arrangements	arrangement	NOUN
qv33rv06g35	2	11	are	be	AUX
qv33rv06g35	2	12	combinatorial	combinatorial	ADJ
qv33rv06g35	2	13	.	.	PUNCT
qv33rv06g35	3	1	calculating	calculate	VERB
qv33rv06g35	3	2	the	the	DET
qv33rv06g35	3	3	hodge	hodge	NOUN
qv33rv06g35	3	4	spectrum	spectrum	NOUN
qv33rv06g35	3	5	is	be	AUX
qv33rv06g35	3	6	a	a	DET
qv33rv06g35	3	7	difficult	difficult	ADJ
qv33rv06g35	3	8	task	task	NOUN
qv33rv06g35	3	9	and	and	CCONJ
qv33rv06g35	3	10	combinatorial	combinatorial	ADJ
qv33rv06g35	3	11	formulas	formula	NOUN
qv33rv06g35	3	12	exist	exist	VERB
qv33rv06g35	3	13	for	for	ADP
qv33rv06g35	3	14	only	only	ADV
qv33rv06g35	3	15	a	a	DET
qv33rv06g35	3	16	few	few	ADJ
qv33rv06g35	3	17	cases	case	NOUN
qv33rv06g35	3	18	.	.	PUNCT
qv33rv06g35	4	1	in	in	ADP
qv33rv06g35	4	2	this	this	DET
qv33rv06g35	4	3	thesis	thesis	NOUN
qv33rv06g35	4	4	the	the	DET
qv33rv06g35	4	5	main	main	ADJ
qv33rv06g35	4	6	result	result	NOUN
qv33rv06g35	4	7	is	be	AUX
qv33rv06g35	4	8	the	the	DET
qv33rv06g35	4	9	formula	formula	NOUN
qv33rv06g35	4	10	for	for	ADP
qv33rv06g35	4	11	reduced	reduce	VERB
qv33rv06g35	4	12	hyperplane	hyperplane	NOUN
qv33rv06g35	4	13	arrangements	arrangement	NOUN
qv33rv06g35	4	14	in	in	ADP
qv33rv06g35	4	15	four	four	NUM
qv33rv06g35	4	16	variables	variable	NOUN
qv33rv06g35	4	17	.	.	PUNCT