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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2411.03366 |
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| _version_ | 1866918139498856448 |
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| author | Panov, Taras |
| author_facet | Panov, Taras |
| contents | Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non-Kaehler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric varieties, LVM and LVMB manifolds, complex-analytic structures on moment-angle manifolds and their partial quotients. In all of these cases, the geometry and topology of the appropriate quotient object can be described by combinatorial data including a pair of Gale dual vector configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03366 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential actions defined by vector configurations, Gale duality, and moment-angle manifolds Panov, Taras Complex Variables Algebraic Topology Dynamical Systems 57S12, 14M25, 32J18, 32L05, 32M25, 32Q55, 37F75, 52B35, 57R19 Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non-Kaehler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric varieties, LVM and LVMB manifolds, complex-analytic structures on moment-angle manifolds and their partial quotients. In all of these cases, the geometry and topology of the appropriate quotient object can be described by combinatorial data including a pair of Gale dual vector configurations. |
| title | Exponential actions defined by vector configurations, Gale duality, and moment-angle manifolds |
| topic | Complex Variables Algebraic Topology Dynamical Systems 57S12, 14M25, 32J18, 32L05, 32M25, 32Q55, 37F75, 52B35, 57R19 |
| url | https://arxiv.org/abs/2411.03366 |