Real structures on horospherical varieties

Autor: Moser-Jauslin, Lucy, Terpereau, Ronan, Borovoi, Mikhail
Rok vydání: 2018
Předmět:
Zdroj: Michigan Math. J. (2021)
Druh dokumentu: Working Paper
DOI: 10.1307/mmj/20195793
Popis: We study the equivariant real structures on complex horospherical varieties, generalizing classical results known for toric varieties and flag varieties. In particular, we obtain a necessary and sufficient condition for the existence of such real structures and determine the number of equivalence classes. We then apply our results to classify the equivariant real structures on smooth projective horospherical varieties of Picard rank 1.
Comment: 33 pages, final version
Databáze: arXiv