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41.
Let J be an abelian surface with a generic ample line bundle . For n≥1, the moduli space MJ(2,0,2n) of (1)-semistable sheaves F of rank 2 with Chern classes c1(F)=0, c2(F)=2n is a singular projective variety, endowed with a holomorphic symplectic structure on the smooth locus. In this paper, we
show that there does not exist a crepant resolution of MJ(2,0,2n) for n≥2. This certainly implies that there is no symplectic desingularization of MJ(2,0,2n) for n≥2.
Jaeyoo Choy was partially supported by KRF 2003-070-C00001
Young-Hoon Kiem was partially supported by a KOSEF grant R01-2003-000-11634-0. 相似文献
42.
This paper gives a partial desingularization construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperkähler quotients. This criterion is applied to some linear actions on hyperkähler vector spaces. 相似文献