Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Erwan Rousseau"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We construct a family of fibred threefolds $X_m \to (S , \Delta )$ such that $X_m$ has no étale cover that dominates a variety of general type but it dominates the orbifold $(S,\Delta )$ of general type. Following Campana, the threefolds $X_m$ are c
Externí odkaz:
https://doaj.org/article/ebb2dbe721f34fa88a5c593fb9a4d00e
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 9:381-430
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa9907c9986008bf7fe8dc48482db371
https://doi.org/10.5802/jep.185
https://doi.org/10.5802/jep.185
Autor:
Erwan Rousseau, Ariyan Javanpeykar
Publikováno v:
International Mathematics Research Notices. 2022:19354-19398
We investigate properties of the Albanese map and the fundamental group of a complex projective variety with many rational points over some function field, and prove that every linear quotient of the fundamental group of such a variety is virtually a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::565df756fbc570b7c4e257c7305c119c
https://doi.org/10.1093/imrn/rnab255
https://doi.org/10.1093/imrn/rnab255
We prove several statements about arithmetic hyperbolicity of certain blow-up varieties. As a corollary we obtain multiple examples of simply connected quasi-projective varieties that are pseudo-arithmetically hyperbolic. This generalizes results of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ef3102050789102ff320af519bb13b9
Publikováno v:
Forum of Mathematics, Sigma
Forum of Mathematics, Sigma, 2021
Forum of Mathematics
Forum of Mathematics, Sigma, 2021
Forum of Mathematics
We construct a family of fibered threefolds $X_m \to (S , \Delta)$ such that $X_m$ has no \'etale cover that dominates a variety of general type but it dominates the orbifold $(S,\Delta)$ of general type. Following Campana, the threefolds $X_m$ are c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a70b7466f7be94e6d9bea2851a24efe2
https://hdl.handle.net/11590/380011
https://hdl.handle.net/11590/380011
Publikováno v:
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2019
Journal de l'École polytechnique — Mathématiques, 2019
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2019
Journal de l'École polytechnique — Mathématiques, 2019
We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings. As an application, we show that Hilber
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75ca503ecb9e826a6e2ac1cd21d0b7ce
https://hal.archives-ouvertes.fr/hal-01622037v2/file/Singular.pdf
https://hal.archives-ouvertes.fr/hal-01622037v2/file/Singular.pdf
Autor:
Erwan Rousseau, Behrouz Taji
In this paper we prove that given a pair $(X,D)$ of a threefold $X$ and a boundary divisor $D$ with mild singularities, if $(K_X+D)$ is movable, then the orbifold second Chern class $c_2$ of $(X,D)$ is pseudo-effective. This generalizes the classical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16c543164bc5e420e6c34a304a253a79
https://hal.science/hal-01887365
https://hal.science/hal-01887365
Autor:
Frédéric Touzet, Erwan Rousseau
Publikováno v:
Asian Journal of Mathematics
Asian Journal of Mathematics, 2018, 22 (4), pp.673-690. ⟨10.4310/AJM.2018.v22.n4.a4⟩
A function field analogue of Vojta's conjecture is established for Hilbert modular varieties. 2015
Asian Journal of Mathematics, International Press, 2018, 22 (4), pp.673-690. ⟨10.4310/AJM.2018.v22.n4.a4⟩
Asian Journal of Mathematics, 2018, 22 (4), pp.673-690. ⟨10.4310/AJM.2018.v22.n4.a4⟩
A function field analogue of Vojta's conjecture is established for Hilbert modular varieties. 2015
Asian Journal of Mathematics, International Press, 2018, 22 (4), pp.673-690. ⟨10.4310/AJM.2018.v22.n4.a4⟩
We prove a boundedness-theorem for families of abelian varieties with real multiplication. More generally, we study curves in Hilbert modular varieties from the point of view of the Green Griffiths-Lang conjecture claiming that entire curves in compl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57912847aef423ff169be704bbabe9a2
https://hal.science/hal-01103058v4/document
https://hal.science/hal-01103058v4/document
Autor:
Erwan Rousseau
Publikováno v:
Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2018
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2018
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2018
Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2018
International audience; These lecture notes are based on a mini-course given at the fifth KAWA Winter School on March 24-29, 2014 at CIRM, Marseille. They provide an introduction to hyperbolicity of complex algebraic varieties namely the geometry of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0335afc3bc42f116362c4354bbdf6c1
https://hal.archives-ouvertes.fr/hal-01390293/file/kawa.pdf
https://hal.archives-ouvertes.fr/hal-01390293/file/kawa.pdf
Autor:
Simone Diverio, Erwan Rousseau
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmet