Derived category of moduli of pointed curves. I

Derived category of moduli of pointed curves. I
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尖曲线模的派生类别。

DOI:
10.14231/ag-2020-026
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发表时间:
2017
期刊:
影响因子:
1.5
通讯作者:
J. Tevelev
J. Tevelev
中科院分区:
数学1区
文献类型:
--
作者:
Ana;J. Tevelev

文献摘要

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这是该系列中第一篇关于具有标记点的亏格为\(0\)的曲线的模空间的导出范畴的论文。我们发展了几种方法,以便在对称群置换标记点的作用下等变地描述它。我们在洛塞夫 - 马宁空间上构造了一个等变的完全例外集,它对错排进行了范畴化。
This is the first paper in the sequence devoted to derived category of moduli spaces of curves of genus $0$ with marked points. We develop several approaches to describe it equivariantly with respect to the action of the symmetric group permuting marked points. We construct an equivariant full exceptional collection on the Losev-Manin space which categorifies derangements.