POISSON STRUCTURES ON MODULI SPACES OF SHEAVES OVER POISSON SURFACES

被引：38
作者：
BOTTACIN, F
机构：
[1] Dipartimento di Matematica Pura e Applicata, Università degli Studi di Padova, Padova, I-35131
来源：
INVENTIONES MATHEMATICAE | 1995年 / 121卷 / 02期
关键词：
D O I：
10.1007/BF01884307
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and study the notion of Poisson surface. We prove that the choice of a Poisson structure on a surface S canonically determines a Poisson structure on the moduli space M of stable sheaves on S. This result generalizes previous results obtained by Mukai [14], for abelian or K3 surfaces, and by Tyurin [16].
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页码：421 / 436
页数：16
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