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arXiv · 2308.07186

Automorphism groups of cubic fivefolds and fourfolds

Song Yang·Xun Yu·Zigang Zhu
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Abstract

In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth cubic fivefolds. Specifically, we prove that there exist 20 maximal ones among all such groups. As an application, we classify all possible subgroups of the automorphism groups of smooth cubic fourfolds.

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Song Yang, Xun Yu, Zigang Zhu. 2023-08-14. Automorphism groups of cubic fivefolds and fourfolds. https://arxiv.org/abs/2308.07186

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