HKKN-stratifications in a non-compact framework
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914092994789376 |
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| author | Paradan, Paul-Emile Ressayre, Nicolas |
| author_facet | Paradan, Paul-Emile Ressayre, Nicolas |
| contents | 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{ä}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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | HKKN-stratifications in a non-compact framework Paradan, Paul-Emile Ressayre, Nicolas Algebraic Geometry Differential Geometry Symplectic Geometry 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{ä}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. |
| title | HKKN-stratifications in a non-compact framework |
| topic | Algebraic Geometry Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2505.03259 |