Connected algebraic groups acting on three-dimensional Mori fibrations
Langue
en
Article de revue
Ce document a été publié dans
International Mathematics Research Notices. 2023-01, vol. 2023, n° 2, p. 1572–1689
Oxford University Press (OUP)
Résumé en anglais
We study the connected algebraic groups acting on Mori fibrations $X \to Y$ with $X$ a rational threefold and $\mathrm{dim}(Y) \geq 1$. More precisely, for these fibre spaces we consider the neutral component of their ...Lire la suite >
We study the connected algebraic groups acting on Mori fibrations $X \to Y$ with $X$ a rational threefold and $\mathrm{dim}(Y) \geq 1$. 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 $\mathrm{Bir}(\mathbb{P}^3)$, recovering most of the classification results of Hiroshi Umemura in the complex case.< Réduire
Project ANR
Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité - ANR-17-EURE-0002
Fibrations et actions de groupes algébriques - ANR-18-CE40-0003
Fibrations et actions de groupes algébriques - ANR-18-CE40-0003
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