论文标题

曲线上向量束的模量空间的派生类别和ACM捆

Derived category and ACM bundles of moduli space of vector bundles on a curve

论文作者

Lee, Kyoung-Seog, Moon, Han-Bom

论文摘要

我们表明,曲线的派生类别嵌入到coprime等级曲线上的向量束的模量空间的派生类别中。我们还概括了由Narasimhan和Belmans-Mukhopadhyay构建的半三相分解。最后,我们在模量空间上生产了一个一维的ACM束家族。

We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay. Finally, we produce a one-dimensional family of ACM bundles over the moduli space.

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