HKKN-stratifications in a non-compact framework
Algebraic Geometry
2025-10-16 v3 Differential Geometry
Symplectic Geometry
Abstract
The aim of this paper is twofold. First, we study HKKN stratifications, both algebraically and analytically, for a Cartesian product between a vector space and a compact K{\"a}hler manifold. We then use these stratifications to prove convexity properties of the moment map for non-compact analytic subsets invariant under a Borel subgroup.
Cite
@article{arxiv.2505.03259,
title = {HKKN-stratifications in a non-compact framework},
author = {Paul-Emile Paradan and Nicolas Ressayre},
journal= {arXiv preprint arXiv:2505.03259},
year = {2025}
}
Comments
In this latest version, we have clarified certain mathematical notations and added a few remarks on the fact that algebraic and analytic stratifications coincide on the variety V x P(E)