Options
Blanc, Jérémy
Nom
Blanc, Jérémy
Affiliation principale
Fonction
Professeur.e ordinaire
Identifiants
Résultat de la recherche
Voici les éléments 1 - 10 sur 54
- PublicationAccès libreFinite quasisimple groups acting on rationally connected threefolds(2023-09-24)
; ;Ivan Cheltsov ;Alexander DuncanYuri ProkhorovWe show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: $\mathfrak{A}_5$, $\operatorname{PSL}_2(\mathbf{F}_7)$, $\mathfrak{A}_6$, $\operatorname{SL}_2(\mathbf{F}_8)$, $\mathfrak{A}_7$, $\operatorname{PSp}_4(\mathbf{F}_3)$, $\operatorname{SL}_2(\mathbf{F}_{7})$, $2.\mathfrak{A}_5$, $2.\mathfrak{A}_6$, $3.\mathfrak{A}_6$ or $6.\mathfrak{A}_6$. All of these groups with a possible exception of $2.\mathfrak{A}_6$ and $6.\mathfrak{A}_6$ indeed act on some rationally connected threefolds. - PublicationAccès libreAutomorphisms of P1-bundles over rational surfaces(2023)
; ;Andrea FanelliRonan TerpereauIn this paper we provide the complete classification of $\mathbb{P}^1$-bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal. Our results hold over any algebraically closed field of characteristic zero. - PublicationAccès libreReal forms of some Gizatullin surfaces and Koras-Russell threefolds(2023)
; ;Anna BotPierre-Marie Poloni - PublicationAccès libreConnected algebraic groups acting on Fano fibrations over P1(2022)
; Enrica Floris - PublicationAccès libreBirational self-maps of threefolds of (un)-bounded genus or gonality(2022)
; ;Ivan Cheltsov ;Alexander DuncanYuri Prokhorov - PublicationAccès libreQuotients of higher-dimensional Cremona groups(2021)
; ;Stéphane LamySusanna Zimmermann - PublicationAccès libreConnected Algebraic Groups Acting on three-dimensional Mori Fibrations(2021)
; ;Andrea FanelliRonan TerpereauWe 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. - PublicationAccès libreDynamical degrees of affine-triangular automorphisms of affine spaces(2021)
; Immanuel Van SantenAbstractWe study the possible dynamical degrees of automorphisms of the affine space$\mathbb {A}^n$. In dimension$n=3$, we determine all dynamical degrees arising from the composition of an affine automorphism with a triangular one. This generalizes the easier case of shift-like automorphisms which can be studied in any dimension. We also prove that each weak Perron number is the dynamical degree of an affine-triangular automorphism of the affine space$\mathbb {A}^n$for somen, and we give the best possiblenfor quadratic integers, which is either$3$or$4$.