On some moduli spaces of bundles on K3 surfaces

被引：2

作者：

Madonna, CG ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

MONATSHEFTE FUR MATHEMATIK | 2005年 / 146卷 / 04期

关键词：

moduli of vector bundles; K3; surfaces; Hilbert schemes;

D O I：

10.1007/s00605-005-0328-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give infinitely many examples in which the moduli space of rank 2 H-stable sheaves on a K3 surface S endowed by a polarization H of degree 2g - 2, with Chern classes c(1) = H and c(2) = g - 1, is birationally equivalent to the Hilbert scheme S[g - 4] of zero dimensional subschemes of S of length g - 4. We get in this way a partial generalization of results from [5] and [1].

引用

页码：333 / 339

页数：7

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