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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.07006 |
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| _version_ | 1866909607422590976 |
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| author | Heinzner, Peter Zöller, Christian |
| author_facet | Heinzner, Peter Zöller, Christian |
| contents | Let G be a complex reductive Lie group acting on a compact Kähler manifold X and assume that the action of a maximal compact subgroup K of G is Hamiltonian. For each extreme point of the convex hull of the momentum map image, there is an associated open dense subset of X, which is invariant under a parabolic subgroup Q of G. We prove a Q-equivariant product decomposition for the Q-action on this subset and discuss some applications of the result. We show a similar statement for real reductive subgroups of G for the restricted momentum map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A structure theorem along fibers of extreme points of the momentum polytope Heinzner, Peter Zöller, Christian Complex Variables Symplectic Geometry 32M05 Let G be a complex reductive Lie group acting on a compact Kähler manifold X and assume that the action of a maximal compact subgroup K of G is Hamiltonian. For each extreme point of the convex hull of the momentum map image, there is an associated open dense subset of X, which is invariant under a parabolic subgroup Q of G. We prove a Q-equivariant product decomposition for the Q-action on this subset and discuss some applications of the result. We show a similar statement for real reductive subgroups of G for the restricted momentum map. |
| title | A structure theorem along fibers of extreme points of the momentum polytope |
| topic | Complex Variables Symplectic Geometry 32M05 |
| url | https://arxiv.org/abs/2505.07006 |