id	sid	tid	token	lemma	pos
gf06g161m8w	1	1	we	we	PRON
gf06g161m8w	1	2	study	study	VERB
gf06g161m8w	1	3	complete	complete	ADJ
gf06g161m8w	1	4	noncompact	noncompact	ADJ
gf06g161m8w	1	5	calabi	calabi	NOUN
gf06g161m8w	1	6	-	-	PUNCT
gf06g161m8w	1	7	yau	yau	PROPN
gf06g161m8w	1	8	manifolds	manifold	NOUN
gf06g161m8w	1	9	with	with	ADP
gf06g161m8w	1	10	maximal	maximal	ADJ
gf06g161m8w	1	11	volume	volume	NOUN
gf06g161m8w	1	12	growth	growth	NOUN
gf06g161m8w	1	13	.	.	PUNCT
gf06g161m8w	2	1	these	these	DET
gf06g161m8w	2	2	manifolds	manifold	NOUN
gf06g161m8w	2	3	arise	arise	VERB
gf06g161m8w	2	4	as	as	ADP
gf06g161m8w	2	5	desingularizations	desingularization	NOUN
gf06g161m8w	2	6	of	of	ADP
gf06g161m8w	2	7	affine	affine	ADJ
gf06g161m8w	2	8	calabi	calabi	NOUN
gf06g161m8w	2	9	-	-	PUNCT
gf06g161m8w	2	10	yau	yau	PROPN
gf06g161m8w	2	11	varieties	variety	NOUN
gf06g161m8w	2	12	,	,	PUNCT
gf06g161m8w	2	13	and	and	CCONJ
gf06g161m8w	2	14	as	as	ADP
gf06g161m8w	2	15	bubbles	bubble	NOUN
gf06g161m8w	2	16	in	in	ADP
gf06g161m8w	2	17	the	the	DET
gf06g161m8w	2	18	singularity	singularity	ADJ
gf06g161m8w	2	19	formation	formation	NOUN
gf06g161m8w	2	20	of	of	ADP
gf06g161m8w	2	21	compact	compact	ADJ
gf06g161m8w	2	22	kähler	kähler	PROPN
gf06g161m8w	2	23	-	-	PUNCT
gf06g161m8w	2	24	einstein	einstein	PROPN
gf06g161m8w	2	25	manifolds	manifolds	PROPN
gf06g161m8w	2	26	.	.	PUNCT
gf06g161m8w	3	1	the	the	DET
gf06g161m8w	3	2	rather	rather	ADV
gf06g161m8w	3	3	explicit	explicit	ADJ
gf06g161m8w	3	4	metric	metric	ADJ
gf06g161m8w	3	5	behavior	behavior	NOUN
gf06g161m8w	3	6	of	of	ADP
gf06g161m8w	3	7	these	these	DET
gf06g161m8w	3	8	manifolds	manifold	NOUN
gf06g161m8w	3	9	enables	enable	VERB
gf06g161m8w	3	10	us	we	PRON
gf06g161m8w	3	11	to	to	PART
gf06g161m8w	3	12	understand	understand	VERB
gf06g161m8w	3	13	the	the	DET
gf06g161m8w	3	14	metric	metric	ADJ
gf06g161m8w	3	15	behavior	behavior	NOUN
gf06g161m8w	3	16	of	of	ADP
gf06g161m8w	3	17	the	the	DET
gf06g161m8w	3	18	seemingly	seemingly	ADV
gf06g161m8w	3	19	impenetrable	impenetrable	ADJ
gf06g161m8w	3	20	compact	compact	ADJ
gf06g161m8w	3	21	case	case	NOUN
gf06g161m8w	3	22	.	.	PUNCT
gf06g161m8w	4	1	it	it	PRON
gf06g161m8w	4	2	is	be	AUX
gf06g161m8w	4	3	therefore	therefore	ADV
gf06g161m8w	4	4	of	of	ADP
gf06g161m8w	4	5	great	great	ADJ
gf06g161m8w	4	6	importance	importance	NOUN
gf06g161m8w	4	7	to	to	PART
gf06g161m8w	4	8	study	study	VERB
gf06g161m8w	4	9	the	the	DET
gf06g161m8w	4	10	uniqueness	uniqueness	NOUN
gf06g161m8w	4	11	/	/	SYM
gf06g161m8w	4	12	deformation	deformation	NOUN
gf06g161m8w	4	13	problem	problem	NOUN
gf06g161m8w	4	14	of	of	ADP
gf06g161m8w	4	15	these	these	DET
gf06g161m8w	4	16	manifolds	manifold	NOUN
gf06g161m8w	4	17	and	and	CCONJ
gf06g161m8w	4	18	metrics	metric	NOUN
gf06g161m8w	4	19	.	.	PUNCT
gf06g161m8w	5	1	our	our	PRON
gf06g161m8w	5	2	first	first	ADJ
gf06g161m8w	5	3	result	result	NOUN
gf06g161m8w	5	4	is	be	AUX
gf06g161m8w	5	5	that	that	PRON
gf06g161m8w	5	6	subquadratic	subquadratic	ADJ
gf06g161m8w	5	7	harmonic	harmonic	NOUN
gf06g161m8w	5	8	functions	function	NOUN
gf06g161m8w	5	9	on	on	ADP
gf06g161m8w	5	10	such	such	ADJ
gf06g161m8w	5	11	manifolds	manifold	NOUN
gf06g161m8w	5	12	must	must	AUX
gf06g161m8w	5	13	be	be	AUX
gf06g161m8w	5	14	pluriharmonic	pluriharmonic	ADJ
gf06g161m8w	5	15	.	.	PUNCT
gf06g161m8w	6	1	this	this	PRON
gf06g161m8w	6	2	should	should	AUX
gf06g161m8w	6	3	be	be	AUX
gf06g161m8w	6	4	seen	see	VERB
gf06g161m8w	6	5	as	as	ADP
gf06g161m8w	6	6	the	the	DET
gf06g161m8w	6	7	linear	linear	ADJ
gf06g161m8w	6	8	version	version	NOUN
gf06g161m8w	6	9	of	of	ADP
gf06g161m8w	6	10	the	the	DET
gf06g161m8w	6	11	uniqueness	uniqueness	ADJ
gf06g161m8w	6	12	/	/	SYM
gf06g161m8w	6	13	deformation	deformation	NOUN
gf06g161m8w	6	14	problem	problem	NOUN
gf06g161m8w	6	15	.	.	PUNCT
gf06g161m8w	7	1	next	next	ADV
gf06g161m8w	7	2	,	,	PUNCT
gf06g161m8w	7	3	we	we	PRON
gf06g161m8w	7	4	show	show	VERB
gf06g161m8w	7	5	that	that	SCONJ
gf06g161m8w	7	6	if	if	SCONJ
gf06g161m8w	7	7	a	a	DET
gf06g161m8w	7	8	ddbar	ddbar	ADJ
gf06g161m8w	7	9	-	-	PUNCT
gf06g161m8w	7	10	exact	exact	ADJ
gf06g161m8w	7	11	calabi	calabi	NOUN
gf06g161m8w	7	12	-	-	PUNCT
gf06g161m8w	7	13	yau	yau	PROPN
gf06g161m8w	7	14	manifold	manifold	ADJ
gf06g161m8w	7	15	with	with	ADP
gf06g161m8w	7	16	maximal	maximal	ADJ
gf06g161m8w	7	17	volume	volume	NOUN
gf06g161m8w	7	18	growth	growth	NOUN
gf06g161m8w	7	19	has	have	VERB
gf06g161m8w	7	20	tangent	tangent	ADJ
gf06g161m8w	7	21	cone	cone	NOUN
gf06g161m8w	7	22	at	at	ADP
gf06g161m8w	7	23	infinity	infinity	NOUN
gf06g161m8w	7	24	which	which	PRON
gf06g161m8w	7	25	splits	split	VERB
gf06g161m8w	7	26	an	an	DET
gf06g161m8w	7	27	euclidean	euclidean	ADJ
gf06g161m8w	7	28	factor	factor	NOUN
gf06g161m8w	7	29	,	,	PUNCT
gf06g161m8w	7	30	then	then	ADV
gf06g161m8w	7	31	the	the	DET
gf06g161m8w	7	32	metric	metric	NOUN
gf06g161m8w	7	33	is	be	AUX
gf06g161m8w	7	34	unique	unique	ADJ
gf06g161m8w	7	35	under	under	ADP
gf06g161m8w	7	36	subquadratic	subquadratic	ADJ
gf06g161m8w	7	37	perturbation	perturbation	NOUN
gf06g161m8w	7	38	of	of	ADP
gf06g161m8w	7	39	the	the	DET
gf06g161m8w	7	40	kähler	kähler	PROPN
gf06g161m8w	7	41	potential	potential	NOUN
gf06g161m8w	7	42	.	.	PUNCT
gf06g161m8w	8	1	geometrically	geometrically	ADV
gf06g161m8w	8	2	,	,	PUNCT
gf06g161m8w	8	3	this	this	PRON
gf06g161m8w	8	4	means	mean	VERB
gf06g161m8w	8	5	that	that	SCONJ
gf06g161m8w	8	6	the	the	DET
gf06g161m8w	8	7	calabi	calabi	NOUN
gf06g161m8w	8	8	-	-	PUNCT
gf06g161m8w	8	9	yau	yau	PROPN
gf06g161m8w	8	10	metric	metric	NOUN
gf06g161m8w	8	11	is	be	AUX
gf06g161m8w	8	12	rigid	rigid	ADJ
gf06g161m8w	8	13	under	under	ADP
gf06g161m8w	8	14	deformations	deformation	NOUN
gf06g161m8w	8	15	that	that	PRON
gf06g161m8w	8	16	fix	fix	VERB
gf06g161m8w	8	17	the	the	DET
gf06g161m8w	8	18	tangent	tangent	ADJ
gf06g161m8w	8	19	cone	cone	NOUN
gf06g161m8w	8	20	at	at	ADP
gf06g161m8w	8	21	infinity	infinity	NOUN
gf06g161m8w	8	22	.	.	PUNCT
gf06g161m8w	9	1	it	it	PRON
gf06g161m8w	9	2	is	be	AUX
gf06g161m8w	9	3	therefore	therefore	ADV
gf06g161m8w	9	4	interesting	interesting	ADJ
gf06g161m8w	9	5	to	to	PART
gf06g161m8w	9	6	know	know	VERB
gf06g161m8w	9	7	if	if	SCONJ
gf06g161m8w	9	8	a	a	DET
gf06g161m8w	9	9	quadratic	quadratic	ADJ
gf06g161m8w	9	10	perturbation	perturbation	NOUN
gf06g161m8w	9	11	of	of	ADP
gf06g161m8w	9	12	the	the	DET
gf06g161m8w	9	13	kähler	kähler	PROPN
gf06g161m8w	9	14	potential	potential	NOUN
gf06g161m8w	9	15	,	,	PUNCT
gf06g161m8w	9	16	which	which	PRON
gf06g161m8w	9	17	should	should	AUX
gf06g161m8w	9	18	correspond	correspond	VERB
gf06g161m8w	9	19	to	to	ADP
gf06g161m8w	9	20	an	an	DET
gf06g161m8w	9	21	automorphism	automorphism	NOUN
gf06g161m8w	9	22	of	of	ADP
gf06g161m8w	9	23	the	the	DET
gf06g161m8w	9	24	tangent	tangent	ADJ
gf06g161m8w	9	25	cone	cone	NOUN
gf06g161m8w	9	26	at	at	ADP
gf06g161m8w	9	27	infinity	infinity	NOUN
gf06g161m8w	9	28	,	,	PUNCT
gf06g161m8w	9	29	really	really	ADV
gf06g161m8w	9	30	changes	change	VERB
gf06g161m8w	9	31	the	the	DET
gf06g161m8w	9	32	metric	metric	NOUN
gf06g161m8w	9	33	.	.	PUNCT
gf06g161m8w	10	1	as	as	ADP
gf06g161m8w	10	2	a	a	DET
gf06g161m8w	10	3	first	first	ADJ
gf06g161m8w	10	4	step	step	NOUN
gf06g161m8w	10	5	toward	toward	ADP
gf06g161m8w	10	6	understanding	understand	VERB
gf06g161m8w	10	7	this	this	DET
gf06g161m8w	10	8	picture	picture	NOUN
gf06g161m8w	10	9	,	,	PUNCT
gf06g161m8w	10	10	we	we	PRON
gf06g161m8w	10	11	construct	construct	VERB
gf06g161m8w	10	12	new	new	ADJ
gf06g161m8w	10	13	calabi	calabi	NOUN
gf06g161m8w	10	14	-	-	PUNCT
gf06g161m8w	10	15	yau	yau	NOUN
gf06g161m8w	10	16	metrics	metric	NOUN
gf06g161m8w	10	17	on	on	ADP
gf06g161m8w	10	18	c^3	c^3	NOUN
gf06g161m8w	10	19	with	with	ADP
gf06g161m8w	10	20	tangent	tangent	ADJ
gf06g161m8w	10	21	cone	cone	NOUN
gf06g161m8w	10	22	at	at	ADP
gf06g161m8w	10	23	infinity	infinity	PRON
gf06g161m8w	10	24	given	give	VERB
gf06g161m8w	10	25	by	by	ADP
gf06g161m8w	10	26	c	c	PROPN
gf06g161m8w	10	27	x	x	SYM
gf06g161m8w	10	28	a_2	a_2	PROPN
gf06g161m8w	10	29	,	,	PUNCT
gf06g161m8w	10	30	and	and	CCONJ
gf06g161m8w	10	31	we	we	PRON
gf06g161m8w	10	32	show	show	VERB
gf06g161m8w	10	33	that	that	SCONJ
gf06g161m8w	10	34	these	these	DET
gf06g161m8w	10	35	metrics	metric	NOUN
gf06g161m8w	10	36	are	be	AUX
gf06g161m8w	10	37	inequivalent	inequivalent	NOUN
gf06g161m8w	10	38	in	in	ADP
gf06g161m8w	10	39	the	the	DET
gf06g161m8w	10	40	sense	sense	NOUN
gf06g161m8w	10	41	that	that	SCONJ
gf06g161m8w	10	42	they	they	PRON
gf06g161m8w	10	43	are	be	AUX
gf06g161m8w	10	44	not	not	PART
gf06g161m8w	10	45	related	relate	VERB
gf06g161m8w	10	46	by	by	ADP
gf06g161m8w	10	47	isometries	isometry	NOUN
gf06g161m8w	10	48	and	and	CCONJ
gf06g161m8w	10	49	scalings	scaling	NOUN
gf06g161m8w	10	50	.	.	PUNCT
gf06g161m8w	11	1	this	this	DET
gf06g161m8w	11	2	existence	existence	NOUN
gf06g161m8w	11	3	result	result	NOUN
gf06g161m8w	11	4	provides	provide	VERB
gf06g161m8w	11	5	the	the	DET
gf06g161m8w	11	6	first	first	ADJ
gf06g161m8w	11	7	example	example	NOUN
gf06g161m8w	11	8	of	of	ADP
gf06g161m8w	11	9	families	family	NOUN
gf06g161m8w	11	10	of	of	ADP
gf06g161m8w	11	11	calabi	calabi	NOUN
gf06g161m8w	11	12	-	-	PUNCT
gf06g161m8w	11	13	yau	yau	NOUN
gf06g161m8w	11	14	metrics	metric	NOUN
gf06g161m8w	11	15	with	with	ADP
gf06g161m8w	11	16	the	the	DET
gf06g161m8w	11	17	same	same	ADJ
gf06g161m8w	11	18	tangent	tangent	NOUN
gf06g161m8w	11	19	cone	cone	NOUN
gf06g161m8w	11	20	at	at	ADP
gf06g161m8w	11	21	infinity	infinity	NOUN
gf06g161m8w	11	22	while	while	SCONJ
gf06g161m8w	11	23	the	the	DET
gf06g161m8w	11	24	underlying	underlying	ADJ
gf06g161m8w	11	25	complex	complex	ADJ
gf06g161m8w	11	26	structure	structure	NOUN
gf06g161m8w	11	27	is	be	AUX
gf06g161m8w	11	28	fixed	fix	VERB
gf06g161m8w	11	29	.	.	PUNCT