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

Fuente: arXiv
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Autores principales: Floris, Enrica, Zikas, Sokratis
Formato: Preprint
Publicado: 2024
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author Floris, Enrica
Zikas, Sokratis
author_facet Floris, Enrica
Zikas, Sokratis
contents 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 $Cr_n(\mathbb{C})$.
format Preprint
id arxiv_https___arxiv_org_abs_2402_05021
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Umemura Quadric Fibrations and Maximal Subgroups of $Cr_n(\mathbb{C})$
Floris, Enrica
Zikas, Sokratis
Algebraic Geometry
14E07, 14E05, 14E30
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 $Cr_n(\mathbb{C})$.
title Umemura Quadric Fibrations and Maximal Subgroups of $Cr_n(\mathbb{C})$
topic Algebraic Geometry
14E07, 14E05, 14E30
url https://arxiv.org/abs/2402.05021