Poincare sheaves on the moduli spaces of torsionfree sheaves over an irreducible curve

Autor:	Bhosle, Usha N., Biswas, Indranil
Rok vydání:	2011
Předmět:	Mathematics - Algebraic Geometry 14F05 14D20 14P99
Druh dokumentu:	Working Paper
Popis:	Let $Y$ be a geometrically irreducible reduced projective curve defined over real numbers. Let $U_Y$ (respectively, $U'_Y$) be the moduli space of geometrically stable torsionfree sheaves (respectively, locally free sheaves) on $Y$ of rank $n$ and degree $d$. Define $\chi\, =\, d+n(1-\text{genus}(Y))$, where $\text{genus}(Y)$ is the arithmetic genus. If $2n$ is coprime to $\chi$, then there is a Poincare sheaf over $U_Y\times Y$. If $2n$ is not coprime to $\chi$, then there is no Poincare sheaf over any nonempty open subset of $U'_Y$. Comment: To appear in Communications in Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1108.1528 Zobrazit plný text záznamu View this record from Arxiv