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Connected Algebraic Groups Acting on three-dimensional Mori Fibrations
Auteur(s)
Date de parution
2021
In
International Mathematics Research Notices
Vol.
2023
No
2
De la page
1572
A la page
1689
Résumé
We study the connected algebraic groups acting on Mori fibrations $X \to Y$ with $X$ a rational threefold and $\textrm{dim}(Y) \geq 1$. More precisely, for these fibre spaces, we consider the neutral component of their automorphism groups and study their equivariant birational geometry. This is done using, inter alia, minimal model program and Sarkisov program and allows us to determine the maximal connected algebraic subgroups of $\textrm{Bir}(\mathbb{P}^3)$, recovering most of the classification results of Hiroshi Umemura in the complex case.
Identifiants
Type de publication
journal article
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