On the canonical real structure on wonderful varieties
Algebraic Geometry
2014-11-21 v1 Complex Variables
Abstract
We study equivariant real structures on spherical varieties. We call such a structure canonical if it is equivariant with respect to the involution defining the split real form of the acting reductive group G. We prove the existence and uniqueness of a canonical structure for homogeneous spherical varieties G/H with H self-normalizing and for their wonderful embeddings. For a strict wonderful variety we give an estimate of the number of real form orbits on the set of real points.
Keywords
Cite
@article{arxiv.1202.6607,
title = {On the canonical real structure on wonderful varieties},
author = {D. Akhiezer and S. Cupit-Foutou},
journal= {arXiv preprint arXiv:1202.6607},
year = {2014}
}
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17 pages