论文标题

矢量束稳定性的功能方法

A functorial approach to the stability of vector bundles

论文作者

Weissmann, Dario

论文摘要

在普通的投影品种上,在所有Galois上保持$μ$稳定的$ $ $稳定束的位置在特征上是在Gieseker半稳定滑轮的模量空间中开放的。在平滑的属属曲线上,至少2个基因座在稳定束的模量空间中很大,即,其补体至少具有2个。

On a normal projective variety the locus of $μ$-stable bundles that remain $μ$-stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2.

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