Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type
复制标题
不稳定亚变体的商和固定 Harder-Narasimhan 型滑轮的模空间
DOI：
10.1112/plms/pds022
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发表时间：
2012
影响因子：
1.8
通讯作者：
Hoskins V
中科院分区：
文献类型：
--
作者：
Hoskins V
当约化群G线性作用在复射影概型X上时，存在XintoG-不变的局部闭子概型的分层，并具有由Mumford几何不变理论意义下的半稳定点构成的开层Xss，其具有范畴不变性Xss →X // G.本文介绍了一种构造不稳定岩层参数的方法。作为一个应用，我们在一个射影基上用一些额外的数据（一个“n-刚化”）构造了固定的Harder-Narasimhan型层的模空间。
When a reductive groupGacts linearly on a complex projective schemeX, there is a stratification ofXintoG‐invariant locally closed subschemes, with an open stratumXssformed by the semistable points in the sense of Mumford's geometric invariant theory which has a categorical quotientXss→X // G. In this article, we describe a method for constructing quotients of the unstable strata. As an application, we construct moduli spaces of sheaves of fixed Harder–Narasimhan type with some extra data (an ‘n‐rigidification’) on a projective base.