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arXiv · 2402.05021

Umemura Quadric Fibrations and Maximal Subgroups of $Cr_n(\mathbb{C})$

Enrica Floris·Sokratis Zikas
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Abstract

We study the equivariant geometry of special quadric fibrations, called Umemura quadric fibrations, as well as the maximality of their automorphism groups inside $Cr_n(\mathbb{C})$. We produce infinite families of pairwise non-conjugate maximal connected algebraic subgroups of $Cr_n(\mathbb{C})$.

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Enrica Floris, Sokratis Zikas. 2024-02-07. Umemura Quadric Fibrations and Maximal Subgroups of $Cr_n(\mathbb{C})$. https://arxiv.org/abs/2402.05021

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