Real structures on horospherical varieties
Algebraic Geometry
2021-03-22 v4 Group Theory
Abstract
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.
Cite
@article{arxiv.1808.10793,
title = {Real structures on horospherical varieties},
author = {Lucy Moser-Jauslin and Ronan Terpereau and Mikhail Borovoi},
journal= {arXiv preprint arXiv:1808.10793},
year = {2021}
}
Comments
33 pages, final version