Obstructed bundles of rank two on a quintic surface
Obstructed bundles of rank two on a quintic surface
复制标题
五次曲面上的二阶阻碍束
DOI：
10.1142/s0129167x11007045
复制
发表时间：
2009
影响因子：
0.6
通讯作者：
C. Simpson
中科院分区：
文献类型：
--
作者：
Nicole Mestrano;C. Simpson
在本文中，我们考虑非常一般的五次曲面上的二阶稳定丛的模空间。我们通过扭曲自同态的光谱覆盖来研究模空间的潜在阻碍点。该分析通常导致模空间的非约简分量，以及通常比预期尺寸更平滑的分量。当模空间良好时，我们得到了奥格雷迪所要求的锐界。
In this note we consider the moduli space of stable bundles of rank two on a very general quintic surface. We study the potentially obstructed points of the moduli space via the spectral covering of a twisted endomorphism. This analysis leads to generically non-reduced components of the moduli space, and components which are generically smooth of more than the expected dimension. We obtain a sharp bound asked for by O'Grady saying when the moduli space is good.