作为剪子模空间的奥格雷迪十褶

IF 1.2 2区数学 Q1 MATHEMATICS

Forum of Mathematics Sigma Pub Date : 2024-05-10 DOI:10.1017/fms.2024.46

Camilla Felisetti, Franco Giovenzana, Annalisa Grossi

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引用次数: 0

摘要

我们给出了一个晶格理论特征，即$\operatorname {\mathrm {OG10}}$ 类型的流形与 K3 表面上的（扭曲）剪切的某个模空间是双向的。我们将其应用于与任何光滑三次方四折相关联的$\operatorname {\mathrm {OG10}}$ 类型的李-柏图-赵曲率。此外，我们还确定了K3曲面的自动变形何时诱导了双向变换，并以此对所有诱导的双向折射卷积进行了分类。

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O’Grady tenfolds as moduli spaces of sheaves

We give a lattice-theoretic characterization for a manifold of

$\operatorname {\mathrm {OG10}}$

type to be birational to some moduli space of (twisted) sheaves on a K3 surface. We apply it to the Li–Pertusi–Zhao variety of

$\operatorname {\mathrm {OG10}}$

type associated to any smooth cubic fourfold. Moreover, we determine when a birational transformation is induced by an automorphism of the K3 surface, and we use this to classify all induced birational symplectic involutions.

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来源期刊

Forum of Mathematics Sigma Mathematics-Statistics and Probability

CiteScore

1.90

自引率

5.90%

发文量

审稿时长

40 weeks

期刊介绍： Forum of Mathematics, Sigma is the open access alternative to the leading specialist mathematics journals. Editorial decisions are made by dedicated clusters of editors concentrated in the following areas: foundations of mathematics, discrete mathematics, algebra, number theory, algebraic and complex geometry, differential geometry and geometric analysis, topology, analysis, probability, differential equations, computational mathematics, applied analysis, mathematical physics, and theoretical computer science. This classification exists to aid the peer review process. Contributions which do not neatly fit within these categories are still welcome. Forum of Mathematics, Pi and Forum of Mathematics, Sigma are an exciting new development in journal publishing. Together they offer fully open access publication combined with peer-review standards set by an international editorial board of the highest calibre, and all backed by Cambridge University Press and our commitment to quality. Strong research papers from all parts of pure mathematics and related areas will be welcomed. All published papers will be free online to readers in perpetuity.