Spherical Spaces
Algebraic Geometry
2017-03-21 v2 Representation Theory
Abstract
The notion of a spherical space over an arbitrary base scheme is introduced as a generalization of a spherical variety over an algebraically closed field. It is studied how the sphericity condition behaves in families. In particular it is shown that sphericity of subgroup schemes is an open and closed condition over arbitrary base schemes generalizing a result by Knop and Roehrle. Moreover spherical embeddings are classified over arbitrary fields generalizing and simplifying results by Huruguen.
Keywords
Cite
@article{arxiv.1512.01972,
title = {Spherical Spaces},
author = {Torsten Wedhorn},
journal= {arXiv preprint arXiv:1512.01972},
year = {2017}
}
Comments
23 pages, revised version, to appear in Annales de l'Institut Fourier