Connected algebraic groups acting on three-dimensional Mori fibrations
Language
en
Article de revue
This item was published in
International Mathematics Research Notices. 2023-01, vol. 2023, n° 2, p. 1572–1689
Oxford University Press (OUP)
English Abstract
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 ...Read more >
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.Read less <
ANR Project
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
Origin
Hal imported