Automorphisms of a family of surfaces with $p_g=q=2$ and $K^2=7$

Fuente: arXiv
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Autori principali: Penegini, Matteo, Pignatelli, Roberto
Natura: Preprint
Pubblicazione: 2024
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author Penegini, Matteo
Pignatelli, Roberto
author_facet Penegini, Matteo
Pignatelli, Roberto
contents We compute the automorphism group of all the elements of a family of surfaces of general type with $p_g=q=2$ and $K^2=7$, originally constructed by C. Rito. We discuss the consequences of our results towards the Mumford-Tate conjecture.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19206
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Automorphisms of a family of surfaces with $p_g=q=2$ and $K^2=7$
Penegini, Matteo
Pignatelli, Roberto
Algebraic Geometry
14J29, 14J10, 14B12
We compute the automorphism group of all the elements of a family of surfaces of general type with $p_g=q=2$ and $K^2=7$, originally constructed by C. Rito. We discuss the consequences of our results towards the Mumford-Tate conjecture.
title Automorphisms of a family of surfaces with $p_g=q=2$ and $K^2=7$
topic Algebraic Geometry
14J29, 14J10, 14B12
url https://arxiv.org/abs/2407.19206