id	sid	tid	token	lemma	pos
wd375t37b4z	1	1	we	we	PRON
wd375t37b4z	1	2	prove	prove	VERB
wd375t37b4z	1	3	some	some	DET
wd375t37b4z	1	4	regularity	regularity	NOUN
wd375t37b4z	1	5	results	result	NOUN
wd375t37b4z	1	6	for	for	ADP
wd375t37b4z	1	7	singular	singular	ADJ
wd375t37b4z	1	8	solutions	solution	NOUN
wd375t37b4z	1	9	of	of	ADP
wd375t37b4z	1	10	$	$	SYM
wd375t37b4z	1	11	sigma_k$-yamabe	sigma_k$-yamabe	ADJ
wd375t37b4z	1	12	problem	problem	NOUN
wd375t37b4z	1	13	,	,	PUNCT
wd375t37b4z	1	14	where	where	SCONJ
wd375t37b4z	1	15	the	the	DET
wd375t37b4z	1	16	singular	singular	ADJ
wd375t37b4z	1	17	set	set	NOUN
wd375t37b4z	1	18	is	be	AUX
wd375t37b4z	1	19	a	a	DET
wd375t37b4z	1	20	compact	compact	ADJ
wd375t37b4z	1	21	hypersurface	hypersurface	NOUN
wd375t37b4z	1	22	in	in	ADP
wd375t37b4z	1	23	a	a	DET
wd375t37b4z	1	24	riemannian	riemannian	ADJ
wd375t37b4z	1	25	manifold	manifold	NOUN
wd375t37b4z	1	26	.	.	PUNCT
wd375t37b4z	2	1	this	this	DET
wd375t37b4z	2	2	problem	problem	NOUN
wd375t37b4z	2	3	is	be	AUX
wd375t37b4z	2	4	a	a	DET
wd375t37b4z	2	5	fully	fully	ADV
wd375t37b4z	2	6	nonlinear	nonlinear	ADJ
wd375t37b4z	2	7	version	version	NOUN
wd375t37b4z	2	8	of	of	ADP
wd375t37b4z	2	9	the	the	DET
wd375t37b4z	2	10	singular	singular	PROPN
wd375t37b4z	2	11	yamabe	yamabe	PROPN
wd375t37b4z	2	12	problem	problem	NOUN
wd375t37b4z	2	13	,	,	PUNCT
wd375t37b4z	2	14	which	which	PRON
wd375t37b4z	2	15	is	be	AUX
wd375t37b4z	2	16	an	an	DET
wd375t37b4z	2	17	equation	equation	NOUN
wd375t37b4z	2	18	of	of	ADP
wd375t37b4z	2	19	semilinear	semilinear	ADJ
wd375t37b4z	2	20	type	type	NOUN
wd375t37b4z	2	21	.	.	PUNCT
wd375t37b4z	3	1	apart	apart	ADV
wd375t37b4z	3	2	from	from	ADP
wd375t37b4z	3	3	their	their	PRON
wd375t37b4z	3	4	importance	importance	NOUN
wd375t37b4z	3	5	in	in	ADP
wd375t37b4z	3	6	conformal	conformal	ADJ
wd375t37b4z	3	7	geometry	geometry	NOUN
wd375t37b4z	3	8	,	,	PUNCT
wd375t37b4z	3	9	the	the	DET
wd375t37b4z	3	10	blow	blow	VERB
wd375t37b4z	3	11	-	-	PUNCT
wd375t37b4z	3	12	up	up	ADP
wd375t37b4z	3	13	solutions	solution	NOUN
wd375t37b4z	3	14	along	along	ADP
wd375t37b4z	3	15	a	a	DET
wd375t37b4z	3	16	hypersurface	hypersurface	NOUN
wd375t37b4z	3	17	or	or	CCONJ
wd375t37b4z	3	18	the	the	DET
wd375t37b4z	3	19	boundary	boundary	NOUN
wd375t37b4z	3	20	of	of	ADP
wd375t37b4z	3	21	a	a	DET
wd375t37b4z	3	22	manifold	manifold	ADJ
wd375t37b4z	3	23	have	have	AUX
wd375t37b4z	3	24	also	also	ADV
wd375t37b4z	3	25	received	receive	VERB
wd375t37b4z	3	26	much	much	ADJ
wd375t37b4z	3	27	attention	attention	NOUN
wd375t37b4z	3	28	in	in	ADP
wd375t37b4z	3	29	the	the	DET
wd375t37b4z	3	30	study	study	NOUN
wd375t37b4z	3	31	of	of	ADP
wd375t37b4z	3	32	ads	ad	NOUN
wd375t37b4z	3	33	/	/	SYM
wd375t37b4z	3	34	cft	cft	NOUN
wd375t37b4z	3	35	correspondence	correspondence	NOUN
wd375t37b4z	3	36	in	in	ADP
wd375t37b4z	3	37	physics	physic	NOUN
wd375t37b4z	3	38	.	.	PUNCT
wd375t37b4z	4	1	we	we	PRON
wd375t37b4z	4	2	study	study	VERB
wd375t37b4z	4	3	the	the	DET
wd375t37b4z	4	4	problem	problem	NOUN
wd375t37b4z	4	5	in	in	ADP
wd375t37b4z	4	6	the	the	DET
wd375t37b4z	4	7	case	case	NOUN
wd375t37b4z	4	8	of	of	ADP
wd375t37b4z	4	9	negative	negative	ADJ
wd375t37b4z	4	10	cone	cone	NOUN
wd375t37b4z	4	11	.	.	PUNCT
wd375t37b4z	5	1	in	in	ADP
wd375t37b4z	5	2	this	this	DET
wd375t37b4z	5	3	case	case	NOUN
wd375t37b4z	5	4	,	,	PUNCT
wd375t37b4z	5	5	the	the	DET
wd375t37b4z	5	6	main	main	ADJ
wd375t37b4z	5	7	difficulty	difficulty	NOUN
wd375t37b4z	5	8	is	be	AUX
wd375t37b4z	5	9	the	the	DET
wd375t37b4z	5	10	lack	lack	NOUN
wd375t37b4z	5	11	of	of	ADP
wd375t37b4z	5	12	$	$	SYM
wd375t37b4z	5	13	c^2	c^2	SPACE
wd375t37b4z	5	14	$	$	SYM
wd375t37b4z	5	15	estimate	estimate	NOUN
wd375t37b4z	5	16	,	,	PUNCT
wd375t37b4z	5	17	so	so	SCONJ
wd375t37b4z	5	18	we	we	PRON
wd375t37b4z	5	19	have	have	VERB
wd375t37b4z	5	20	to	to	PART
wd375t37b4z	5	21	rely	rely	VERB
wd375t37b4z	5	22	on	on	ADP
wd375t37b4z	5	23	the	the	DET
wd375t37b4z	5	24	maximum	maximum	ADJ
wd375t37b4z	5	25	principle	principle	NOUN
wd375t37b4z	5	26	and	and	CCONJ
wd375t37b4z	5	27	method	method	NOUN
wd375t37b4z	5	28	of	of	ADP
wd375t37b4z	5	29	suband	suband	NOUN
wd375t37b4z	5	30	super	super	NOUN
wd375t37b4z	5	31	-	-	NOUN
wd375t37b4z	5	32	solutions	solution	NOUN
wd375t37b4z	5	33	.	.	PUNCT
wd375t37b4z	6	1	combining	combine	VERB
wd375t37b4z	6	2	our	our	PRON
wd375t37b4z	6	3	result	result	NOUN
wd375t37b4z	6	4	with	with	ADP
wd375t37b4z	6	5	the	the	DET
wd375t37b4z	6	6	theory	theory	NOUN
wd375t37b4z	6	7	of	of	ADP
wd375t37b4z	6	8	'	'	PUNCT
wd375t37b4z	6	9	edge	edge	NOUN
wd375t37b4z	6	10	differential	differential	ADJ
wd375t37b4z	6	11	operators	operator	NOUN
wd375t37b4z	6	12	'	'	PUNCT
wd375t37b4z	6	13	developed	develop	VERB
wd375t37b4z	6	14	by	by	ADP
wd375t37b4z	6	15	r.	r.	PROPN
wd375t37b4z	6	16	mazzeo	mazzeo	PROPN
wd375t37b4z	6	17	we	we	PRON
wd375t37b4z	6	18	obtain	obtain	VERB
wd375t37b4z	6	19	a	a	DET
wd375t37b4z	6	20	polyhomogeneous	polyhomogeneous	ADJ
wd375t37b4z	6	21	expansion	expansion	NOUN
wd375t37b4z	6	22	of	of	ADP
wd375t37b4z	6	23	any	any	DET
wd375t37b4z	6	24	singular	singular	ADJ
wd375t37b4z	6	25	solutions	solution	NOUN
wd375t37b4z	6	26	in	in	ADP
wd375t37b4z	6	27	terms	term	NOUN
wd375t37b4z	6	28	of	of	ADP
wd375t37b4z	6	29	the	the	DET
wd375t37b4z	6	30	distance	distance	NOUN
wd375t37b4z	6	31	to	to	ADP
wd375t37b4z	6	32	the	the	DET
wd375t37b4z	6	33	singular	singular	ADJ
wd375t37b4z	6	34	set	set	NOUN
wd375t37b4z	6	35	.	.	PUNCT