Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Thibaut Delcroix"'
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Akademický článek
Uniform K-stability of polarized spherical varieties
Autor: Thibaut Delcroix
Publikováno v: Épijournal de Géométrie Algébrique, Vol Volume 7 (2023)
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, vastly generalizing the case of toric varieties. We then provide a combinatorial sufficient condition of G-uniform K-stability by studying the correspo
Externí odkaz: https://doaj.org/article/2658b583100747dc9b622cae0ad250ae
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3
Ricci flat Kähler metrics on rank two complex symmetric spaces
Autor: Olivier Biquard, Thibaut Delcroix
Publikováno v: Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2019, 6, pp.163-201. ⟨10.5802/jep.91⟩
We obtain Ricci flat K\"ahler metrics on complex symmetric spaces of rank two by using an explicit asymptotic model whose geometry at infinity is interpreted in the wonderful compactification of the symmetric space. We recover the metrics of Biquard-
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1f67d8d6ed581b84d8d5e4d686cef39
https://hal.archives-ouvertes.fr/hal-02928829
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4
Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds
Autor: Jakob Hultgren, Thibaut Delcroix
Publikováno v: Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, Elsevier, In press
We give necessary and sufficient conditions for existence of solutions to a general system of complex Monge-Amp\`ere equations on Fano horosymmetric manifolds. In particular, we get necessary and sufficient conditions for existence of coupled K\"ahle
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa256d936c2876ecea1a323b9754e63
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5
K{\'a}hler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
Autor: Thibaut Delcroix
We introduce a class of almost homogeneous varieties contained in the class of spherical varieties and containing horospherical varieties as well as complete symmetric varieties. We develop K{\"a}hler geometry on these varieties, with applications to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1227341ea6fff2e28a982430e9041752
http://arxiv.org/abs/1712.00221
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6
Kähler-Einstein metrics on group compactifications
Autor: Thibaut Delcroix
Publikováno v: Geometric And Functional Analysis
Geometric And Functional Analysis, 2017, 27 (1), pp.78-129. ⟨10.1007/s00039-017-0394-y⟩
International audience; We obtain a necessary and sufficient condition of existence of a Kähler-Einstein metric on a $G\times G$-equivariant Fano compactification of a complex connected reductive group $G$ in terms of the associated polytope. This c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d23a37f12681fe26a30d0e0c462c48d6
https://hal.archives-ouvertes.fr/hal-01220176v2/file/KEGroups.pdf
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7
K-Stability of Fano spherical varieties
Autor: Thibaut Delcroix
We prove a criterion for K-stability of a $\mathbb{Q}$-Fano spherical variety with respect to equivariant special test configurations, in terms of its moment polytope and some combinatorial data associated to the open orbit. Combined with the equivar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f015909f352baf1bcb7cbc0b3ee9fda
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8
Log canonical thresholds on group compactifications
Autor: Thibaut Delcroix
Publikováno v: Algebraic Geometry
Algebraic Geometry, Foundation Compositio Mathematica, 2017, 4 (2), pp.203-220. ⟨10.14231/AG-2017-010⟩
We compute the log canonical thresholds of non-negatively curved singular hermitian metrics on ample linearized line bundles on bi-equivariant group compactifications of complex reductive groups. To this end, we associate to any such metric a convex
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df1fc6ccf9b66a0d689796f4a441d812
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9
Alpha-invariant of Toric Line Bundles
Autor: Thibaut Delcroix
Publikováno v: Annales Polonici Mathematici
Annales Polonici Mathematici, 2015, 114, pp.13-27. ⟨10.4064/ap114-1-2⟩
We generalize the work of Jian Song to compute the alpha invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03d50429d278a64e853ccde31ccc56c1
https://hal.archives-ouvertes.fr/hal-01059943v2/document
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10
Les groupes de Burger-Mozes ne sont pas kählériens
Autor: Thibaut Delcroix
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 2014, 23 (1), pp.115-127. ⟨10.5802/afst.1399⟩
Burger and Mozes constructed examples of infinite simple groups which are lattices in the group of automorphisms of a cubical building. We show that there can be no morphism with finitely generated kernel from a K\"ahler group to one of these groups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99b732b49e5109e2b0ed70294b94b586
https://hal.archives-ouvertes.fr/hal-00753204v2/file/BMgroups.pdf
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