Automorphism groups of Mori Del Pezzo fibrations over an irrational curve

Fuente: arXiv
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Hauptverfasser: Fong, Pascal, Zimmermann, Susanna
Format: Preprint
Veröffentlicht: 2026
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author Fong, Pascal
Zimmermann, Susanna
author_facet Fong, Pascal
Zimmermann, Susanna
contents We study the automorphism groups of Mori Del Pezzo fibrations over a smooth projective curve $C$ of positive genus. From that, we obtain a classification of maximal connected algebraic subgroups of $\mathrm{Bir}(C\times \mathbb{P}^2)$. Our results hold over any algebraically closed field of characteristic zero.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26416
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Automorphism groups of Mori Del Pezzo fibrations over an irrational curve
Fong, Pascal
Zimmermann, Susanna
Algebraic Geometry
14E07, 14E30, 14H60, 14J30, 14J50, 14L30
We study the automorphism groups of Mori Del Pezzo fibrations over a smooth projective curve $C$ of positive genus. From that, we obtain a classification of maximal connected algebraic subgroups of $\mathrm{Bir}(C\times \mathbb{P}^2)$. Our results hold over any algebraically closed field of characteristic zero.
title Automorphism groups of Mori Del Pezzo fibrations over an irrational curve
topic Algebraic Geometry
14E07, 14E30, 14H60, 14J30, 14J50, 14L30
url https://arxiv.org/abs/2603.26416