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arXiv · 2603.26416

Automorphism groups of Mori Del Pezzo fibrations over an irrational curve

Pascal Fong·Susanna Zimmermann
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Abstract

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.

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Pascal Fong, Susanna Zimmermann. 2026-03-27. Automorphism groups of Mori Del Pezzo fibrations over an irrational curve. https://arxiv.org/abs/2603.26416

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