Výsledky vyhledávání - "Actions de groupes algébriques"

Dissertation/ Thesis

Sous-variétés spéciales des espaces homogènes

Autor: Benedetti, Vladimiro

Le but de cette thèse est de construire de nouvelles variétés algébriques complexes de Fano et à canonique triviale dans les espaces homogènes et d'analyser leur géométrie. On commence en construisant les variétés spéciales comme lieux de

Externí odkaz: http://www.theses.fr/2018AIXM0224/document

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Akademický článek

Very special algebraic groups.

Autor: Brion, Michel¹ michel.brion@univ-grenoble-alpes.fr, Peyre, Emmanuel¹ emmanuel.peyre@univ-grenoble-alpes.fr

Publikováno v: Comptes Rendus. Mathématique. 2020, Vol. 358 Issue 6, p713-719. 7p.

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Toric G-solid Fano threefolds

Autor: Cheltsov, Ivan, Dubouloz, Adrien, Kishimoto, Takashi

We study toric G-solid Fano threefolds that have at most terminal singularities, where G is an algebraic subgroup of the normalizer of a maximal torus in their automorphism groups.
Comment: 30 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ced1056f0ae2712d32c88f02ef64c45f

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Biregular Cremona transformations of the plane

Autor: Asgarli, Shamil, Lai, Kuan-Wen, Nakahara, Masahiro, Zimmermann, Susanna

We study Cremona transformations that induce bijections on the k-rational points. These form a subgroup inside the Cremona group. When k is a finite field, we study the possible permutations induced on P 2 (k), with special attention to the case of c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::61acca6d0e2413c08c3e0e97295107f0
https://hal.archives-ouvertes.fr/hal-02314974

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An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons

Autor: Delcroix, Thibaut, Jubert, Simon

The second author has shown that existence of extremal K\"ahler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off from the moment polytope. The purpose of this article is to prove var

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3b8f2bef494b5465fbdd72058fa8172
http://arxiv.org/abs/2202.02996

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THE REAL PLANE CREMONA GROUP IS A NON-TRIVIAL AMALGAM

Autor: Zimmermann, Susanna

Publikováno v: Annales de l'Institut Fourier
Annales de l'Institut Fourier, In press
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, In press

International audience; We show that the real Cremona group of the plane is a non-trivial amalgam of two groups amalgamated along their intersection and givean alternative proof of its abelianisation.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6782283f93bcddd558dddb38a51f1ddb
https://hal.science/hal-01719064

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Real structures on nilpotent orbit closures

Autor: Bulois, Michael, Moser-Jauslin, Lucy, Terpereau, Ronan

We determine the equivariant real structures on nilpotent orbits and the normalizations of their closures for the adjoint action of a complex semisimple algebraic group on its Lie algebra.
Comment: 16 pages, final version, to appear in Journal o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fff461378033ca318fded22690d1cecf

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Quotients of higher dimensional Cremona groups

Autor: Jérémy Blanc, Susanna Zimmermann, Stéphane Lamy

Publikováno v: Acta Mathematica
Acta Mathematica, 2021, ⟨10.4310/ACTA.2021.v226.n2.a1⟩
Acta Mathematica, Royal Swedish Academy of Sciences, Institut Mittag-Leffler, 2021, ⟨10.4310/ACTA.2021.v226.n2.a1⟩

We study large groups of birational transformations Bir(X), where X is a variety of dimension at least 3, defined over C or a subfield of C. Two prominent cases are when X is the projective space, in which case Bir(X) is the Cremona group of rank n,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a40ba195f32c644f699d51deedbbb2f6
https://hal.science/hal-01981369

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Topologically integrable derivations and additive group actions on affine ind-schemes

Autor: Diaz, Roberto, Dubouloz, Adrien, Liendo, Alvaro

Affine ind-varieties are infinite dimensional generalizations of algebraic varieties which appear naturally in many different contexts, in particular in the study of automorphism groups of affine spaces. In this article we introduce and develop the b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07900e5db7914cf07acbb42b9aad3aca
https://hal.archives-ouvertes.fr/hal-03081982

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