Convexity theorems for varieties invariant under a Borel subgroup
Symplectic Geometry
2010-11-02 v2 Algebraic Geometry
Abstract
Atiyah proved that the moment map image of the closure of an orbit of a complex torus action is convex. Brion generalized this result to actions of a complex reductive group. We extend their results to actions of a maximal solvable subgroup.
Cite
@article{arxiv.math/0504537,
title = {Convexity theorems for varieties invariant under a Borel subgroup},
author = {Victor Guillemin and Reyer Sjamaar},
journal= {arXiv preprint arXiv:math/0504537},
year = {2010}
}
Comments
18 pages