[图书][B] Variétés algébriques réelles

F Mangolte - 2017 - i2m.univ-amu.fr
Ce fichier est une version corrigée, avec les références mises à jour de mon livre" Variétés
algébriques réelles",[Man17b]. Il correspond à la version anglaise [Man20]. Les références …

Real forms of Mori fiber spaces with many symmetries

R Terpereau, S Zimmermann - arXiv preprint arXiv:2403.14493, 2024 - arxiv.org
We determine the rational real forms of the complex Mori fiber spaces for which the identity
component of the automorphism group is a maximal connected algebraic subgroup of …

Torus actions on affine varieties over characteristic zero fields

PA Gillard - arXiv preprint arXiv:2208.01495, 2022 - arxiv.org
Using Galois descent tools, we extend the Altmann-Hausen presentation of normal affine
algebraic varieties endowed with an effective torus action over an algebraically closed field …

Existence of Equivariant Models of Spherical Varieties and Other G-varieties

M Borovoi, G Gagliardi - International Mathematics Research …, 2022 - academic.oup.com
Let be a field of characteristic with algebraic closure. Let be a connected reductive-group,
and let be a spherical variety over (a spherical homogeneous space or a spherical …

Forms of almost homogeneous varieties over perfect fields

L Moser-Jauslin, R Terpereau - arXiv preprint arXiv:2008.05197, 2020 - arxiv.org
We study the $ k $-forms of almost homogeneous varieties when $ k $ is a perfect base field.
More precisely, in a first part, we obtain criteria for the existence of $ k $-forms in the …

Real loci in (log) Calabi–Yau manifolds via Kato–Nakayama spaces of toric degenerations

H Argüz - European Journal of Mathematics, 2021 - Springer
We study the real loci of toric degenerations of complex varieties with reducible central fibre.
We show that the topology of such degenerations can be explicitly described via the Kato …

Real structures on symmetric spaces

L Moser-Jauslin, R Terpereau - Proceedings of the American Mathematical …, 2021 - ams.org
Real structures on symmetric spaces Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 149, Number 8, August 2021, Pages 3159–3172 https://doi.org/10.1090/proc/15520 …

Real torus actions on real affine algebraic varieties

PA Gillard - Mathematische Zeitschrift, 2022 - Springer
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[PDF][PDF] Real structures on complex algebraic varieties with a reductive group action

R Terpereau - arXiv preprint arXiv:2203.01232, 2022 - arxiv.org
arXiv:2203.01232v2 [math.AG] 20 Jul 2023 Page 1 REAL STRUCTURES ON COMPLEX
ALGEBRAIC VARIETIES WITH A REDUCTIVE GROUP ACTION RONAN TERPEREAU …

REAL FORMS OF SOME GIZATULLIN SURFACES AND KORAS–RUSSELL THREEFOLDS

J Blanc, A Bot, PM Poloni - Publicacions Matemàtiques, 2023 - projecteuclid.org
We describe the real forms of Gizatullin surfaces of the form xy= p (z) and of Koras–Russell
threefolds of the first kind. The former admit zero, two, three, four, or six isomorphism classes …