Work

Real Structures on Horospherical Varieties

Year: 2020

Type: article

Abstract: We study the equivariant real structures on complex horospherical varieties, generalizing classical results known for toric varieties and flag varieties. We obtain a necessary and sufficient condition for the existence of an equivariant real structure on a given horospherical variety, and we determine the number of equivalence classes of equivariant real structures on horospherical homogeneous spaces. We then apply our results to classifying the equivalence classes of equivariant real structures on smooth projective horospherical varieties of Picard rank 1.

Source: The Michigan Mathematical Journal

DOI: 10.1307/mmj/20195793

Authors: Lucy Moser-Jauslin, Ronan Terpereau

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: Fibrations and algebraic group actions, Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité, Ecole Universitaire de Recherche Interdisciplinaire sur la Douleur

OpenAlex ID: W2888987262

FWCI: 0.982

Cites: 24

Cited by: 5

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