NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON $$ {overline{mathrm{M}}}_{0,n} $$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON $$ {overline{mathrm{M}}}_{0,n} $$

Authors:	P.?BELKALE author-information" > author-information__contact u-icon-before" > mailto:belkale@email.unc.edu" title=" belkale@email.unc.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,A.?GIBNEY,S.?MUKHOPADHYAY

Affiliation:	1.Department of Mathematics,Univerisity of North Carolina,Chapel Hill,USA;2.Department of Mathematics,University of Georgia,Athens,USA;3.Department of Mathematics,University of Maryland,College Park,USA

Abstract:	We introduce and study the problem of finding necessary and sufficient conditions under which a conformal blocks divisor on ( {overline{mathrm{M}}}_{0,n} ) is nonzero, solving the problem completely for ( mathfrak{s}{mathfrak{l}}_2 ). We give necessary nonvanishing conditions in type A, which are sufficient when theta and critical levels coincide. We also show divisors are subject to additive identities, reflecting a decomposition of the weights and level.

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