立方四重上的扭曲立方及其稳定性条件

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2018-02-04 DOI:10.14231/ag-2023-022

Chunyi Li, L. Pertusi, Xiaolei Zhao

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引用次数: 35

摘要

我们给出了由Lehn, Lehn, Sorger和van Straten从不含平面的三次四重的扭曲三次曲线上构造的三次四重和超八重上的Fano变化线的解释，作为Kuznetsov分量中的桥稳定物体的模空间。在此基础上，我们对三次四重的Torelli定理的范畴版本进行了修正，得到了LLSvS的八重周期点与Fano变量周期点的辨识，并讨论了三次四重的Torelli定理的推导。

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Twisted cubics on cubic fourfolds and stability conditions

We give an interpretation of the Fano variety of lines on a cubic fourfold and of the hyperkahler eightfold, constructed by Lehn, Lehn, Sorger and van Straten from twisted cubic curves in a cubic fourfold non containing a plane, as moduli spaces of Bridgeland stable objects in the Kuznetsov component. As a consequence, we reprove the categorical version of Torelli Theorem for cubic fourfolds, we obtain the identification of the period point of LLSvS eightfold with that of the Fano variety, and we discuss derived Torelli Theorem for cubic fourfolds.

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.