id	sid	tid	token	lemma	pos
q237hq40706	1	1	this	this	DET
q237hq40706	1	2	dissertation	dissertation	NOUN
q237hq40706	1	3	examines	examine	VERB
q237hq40706	1	4	two	two	NUM
q237hq40706	1	5	questions	question	NOUN
q237hq40706	1	6	.	.	PUNCT
q237hq40706	2	1	in	in	ADP
q237hq40706	2	2	the	the	DET
q237hq40706	2	3	first	first	ADJ
q237hq40706	2	4	two	two	NUM
q237hq40706	2	5	chapters	chapter	NOUN
q237hq40706	2	6	,	,	PUNCT
q237hq40706	2	7	we	we	PRON
q237hq40706	2	8	study	study	VERB
q237hq40706	2	9	the	the	DET
q237hq40706	2	10	minimal	minimal	ADJ
q237hq40706	2	11	free	free	ADJ
q237hq40706	2	12	resolution	resolution	NOUN
q237hq40706	2	13	of	of	ADP
q237hq40706	2	14	a	a	DET
q237hq40706	2	15	general	general	ADJ
q237hq40706	2	16	set	set	NOUN
q237hq40706	2	17	of	of	ADP
q237hq40706	2	18	points	point	NOUN
q237hq40706	2	19	on	on	ADP
q237hq40706	2	20	a	a	DET
q237hq40706	2	21	surface	surface	NOUN
q237hq40706	2	22	of	of	ADP
q237hq40706	2	23	degree	degree	NOUN
q237hq40706	2	24	d	d	NOUN
q237hq40706	2	25	in	in	ADP
q237hq40706	2	26	p3	p3	PROPN
q237hq40706	2	27	.	.	PUNCT
q237hq40706	3	1	our	our	PRON
q237hq40706	3	2	main	main	ADJ
q237hq40706	3	3	result	result	NOUN
q237hq40706	3	4	for	for	ADP
q237hq40706	3	5	this	this	DET
q237hq40706	3	6	problem	problem	NOUN
q237hq40706	3	7	,	,	PUNCT
q237hq40706	3	8	contained	contain	VERB
q237hq40706	3	9	in	in	ADP
q237hq40706	3	10	chapter	chapter	NOUN
q237hq40706	3	11	2	2	NUM
q237hq40706	3	12	,	,	PUNCT
q237hq40706	3	13	is	be	AUX
q237hq40706	3	14	to	to	PART
q237hq40706	3	15	give	give	VERB
q237hq40706	3	16	the	the	DET
q237hq40706	3	17	form	form	NOUN
q237hq40706	3	18	of	of	ADP
q237hq40706	3	19	the	the	DET
q237hq40706	3	20	minimal	minimal	ADJ
q237hq40706	3	21	free	free	ADJ
q237hq40706	3	22	resolution	resolution	NOUN
q237hq40706	3	23	of	of	ADP
q237hq40706	3	24	a	a	DET
q237hq40706	3	25	general	general	ADJ
q237hq40706	3	26	set	set	NOUN
q237hq40706	3	27	of	of	ADP
q237hq40706	3	28	points	point	NOUN
q237hq40706	3	29	on	on	ADP
q237hq40706	3	30	a	a	DET
q237hq40706	3	31	cubic	cubic	ADJ
q237hq40706	3	32	surface	surface	NOUN
q237hq40706	3	33	that	that	PRON
q237hq40706	3	34	has	have	VERB
q237hq40706	3	35	at	at	ADV
q237hq40706	3	36	most	most	ADV
q237hq40706	3	37	finitely	finitely	ADV
q237hq40706	3	38	many	many	ADJ
q237hq40706	3	39	double	double	ADJ
q237hq40706	3	40	points	point	NOUN
q237hq40706	3	41	.	.	PUNCT
q237hq40706	4	1	we	we	PRON
q237hq40706	4	2	use	use	VERB
q237hq40706	4	3	liaison	liaison	NOUN
q237hq40706	4	4	techniques	technique	NOUN
q237hq40706	4	5	and	and	CCONJ
q237hq40706	4	6	count	count	NOUN
q237hq40706	4	7	syzygies	syzygy	NOUN
q237hq40706	4	8	.	.	PUNCT
q237hq40706	5	1	in	in	ADP
q237hq40706	5	2	the	the	DET
q237hq40706	5	3	third	third	ADJ
q237hq40706	5	4	and	and	CCONJ
q237hq40706	5	5	fourth	fourth	ADJ
q237hq40706	5	6	chapters	chapter	NOUN
q237hq40706	5	7	,	,	PUNCT
q237hq40706	5	8	we	we	PRON
q237hq40706	5	9	study	study	VERB
q237hq40706	5	10	the	the	DET
q237hq40706	5	11	arithmetically	arithmetically	ADV
q237hq40706	5	12	gorenstein	gorenstein	ADJ
q237hq40706	5	13	sets	set	NOUN
q237hq40706	5	14	of	of	ADP
q237hq40706	5	15	points	point	NOUN
q237hq40706	5	16	on	on	ADP
q237hq40706	5	17	a	a	DET
q237hq40706	5	18	general	general	ADJ
q237hq40706	5	19	surface	surface	NOUN
q237hq40706	5	20	in	in	ADP
q237hq40706	5	21	p3	p3	PROPN
q237hq40706	5	22	.	.	PUNCT
q237hq40706	6	1	our	our	PRON
q237hq40706	6	2	main	main	ADJ
q237hq40706	6	3	result	result	NOUN
q237hq40706	6	4	is	be	AUX
q237hq40706	6	5	a	a	DET
q237hq40706	6	6	complete	complete	ADJ
q237hq40706	6	7	list	list	NOUN
q237hq40706	6	8	of	of	ADP
q237hq40706	6	9	the	the	DET
q237hq40706	6	10	h	h	NOUN
q237hq40706	6	11	-	-	PUNCT
q237hq40706	6	12	vectors	vector	NOUN
q237hq40706	6	13	of	of	ADP
q237hq40706	6	14	arithmetically	arithmetically	ADV
q237hq40706	6	15	gorenstein	gorenstein	ADJ
q237hq40706	6	16	sets	set	NOUN
q237hq40706	6	17	of	of	ADP
q237hq40706	6	18	points	point	NOUN
q237hq40706	6	19	on	on	ADP
q237hq40706	6	20	a	a	DET
q237hq40706	6	21	general	general	ADJ
q237hq40706	6	22	sextic	sextic	ADJ
q237hq40706	6	23	surface	surface	NOUN
q237hq40706	6	24	in	in	ADP
q237hq40706	6	25	p3	p3	PROPN
q237hq40706	6	26	.	.	PUNCT
q237hq40706	7	1	we	we	PRON
q237hq40706	7	2	use	use	VERB
q237hq40706	7	3	a	a	DET
q237hq40706	7	4	connection	connection	NOUN
q237hq40706	7	5	between	between	ADP
q237hq40706	7	6	such	such	ADJ
q237hq40706	7	7	sets	set	NOUN
q237hq40706	7	8	of	of	ADP
q237hq40706	7	9	points	point	NOUN
q237hq40706	7	10	and	and	CCONJ
q237hq40706	7	11	rank	rank	NOUN
q237hq40706	7	12	two	two	NUM
q237hq40706	7	13	arithmetically	arithmetically	ADV
q237hq40706	7	14	cohen	cohen	ADJ
q237hq40706	7	15	-	-	PUNCT
q237hq40706	7	16	macaulay	macaulay	NOUN
q237hq40706	7	17	vector	vector	NOUN
q237hq40706	7	18	bundles	bundle	NOUN
q237hq40706	7	19	on	on	ADP
q237hq40706	7	20	the	the	DET
q237hq40706	7	21	surface	surface	NOUN
q237hq40706	7	22	,	,	PUNCT
q237hq40706	7	23	as	as	ADV
q237hq40706	7	24	well	well	ADV
q237hq40706	7	25	as	as	ADP
q237hq40706	7	26	liaison	liaison	NOUN
q237hq40706	7	27	techniques	technique	NOUN
q237hq40706	7	28	and	and	CCONJ
q237hq40706	7	29	terracini	terracini	PROPN
q237hq40706	7	30	's	's	PART
q237hq40706	7	31	lemma	lemma	NOUN
q237hq40706	7	32	.	.	PUNCT