BLANC, Jérémy; FANELLI, Andrea; TERPEREAU, Ronan

doi:10.1093/imrn/rnab293

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BLANC, Jérémy
Université de Bâle = University of Basel = Basel Universität [Unibas]

FANELLI, Andrea
Institut de Mathématiques de Bordeaux [IMB]

TERPEREAU, Ronan
Institut de Mathématiques de Bourgogne [Dijon] [IMB]

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Article de revue

Este ítem está publicado en

International Mathematics Research Notices. 2023-01, vol. 2023, n° 2, p. 1572–1689

Oxford University Press (OUP)

Resumen en inglés

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.< Leer menos

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191413

DOI

http://dx.doi.org/10.1093/imrn/rnab293

Proyecto 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

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Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251