具有交映自动形态的立方四面体

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-13 DOI:arxiv-2409.08448

Kenji Koike

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引用次数: 0

摘要

我们通过对 Laza 和 Zheng 的 34 个群组的 6 维投影表示进行分类，确定了具有交映自形的光滑复立方四面体的投影方程。特别是，我们确定了具有这些群的交错作用的立方四面体模空间的不可还原分量数。我们还讨论了立方四折在六种最大情况下的定义域。

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Cubic fourfolds with symplectic automorphisms

We determine projective equations of smooth complex cubic fourfolds with symplectic automorphisms by classifying 6-dimensional projective representations of Laza and Zheng's 34 groups. In particular, we determine the number of irreducible components for moduli spaces of cubic fourfolds with symplectic actions by these groups. We also discuss the fields of definition of cubic fourfolds in six maximal cases.

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arXiv - MATH - Algebraic Geometry

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