Mostrar el registro sencillo del ítem

Connected algebraic groups acting on three-dimensional Mori fibrations

hal.structure.identifierUniversité de Bâle = University of Basel = Basel Universität [Unibas]
dc.contributor.authorBLANC, Jérémy
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFANELLI, Andrea
hal.structure.identifierInstitut de Mathématiques de Bourgogne [Dijon] [IMB]
dc.contributor.authorTERPEREAU, Ronan
dc.date.accessioned2024-04-04T02:44:29Z
dc.date.available2024-04-04T02:44:29Z
dc.date.issued2023-01
dc.identifier.issn1073-7928
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191413
dc.description.abstractEnWe 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.
dc.description.sponsorshipIngénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité - ANR-17-EURE-0002
dc.description.sponsorshipFibrations et actions de groupes algébriques - ANR-18-CE40-0003
dc.language.isoen
dc.publisherOxford University Press (OUP)
dc.title.enConnected algebraic groups acting on three-dimensional Mori fibrations
dc.typeArticle de revue
dc.identifier.doi10.1093/imrn/rnab293
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.identifier.arxiv1912.11364
bordeaux.journalInternational Mathematics Research Notices
bordeaux.page1572–1689
bordeaux.volume2023
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02489771
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02489771v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Mathematics%20Research%20Notices&rft.date=2023-01&rft.volume=2023&rft.issue=2&rft.spage=1572%E2%80%931689&rft.epage=1572%E2%80%931689&rft.eissn=1073-7928&rft.issn=1073-7928&rft.au=BLANC,%20J%C3%A9r%C3%A9my&FANELLI,%20Andrea&TERPEREAU,%20Ronan&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem