Classification of locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915957002207232 |
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| author | Koike, Yuya Kuroki, Shintaro |
| author_facet | Koike, Yuya Kuroki, Shintaro |
| contents | We introduce the notion of a locally standard $T$-pseudomanifold, a class that generalizes both complete toric varieties and locally standard $T$-manifolds. The main goal of this paper is to show that locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds satisfying certain conditions are completely classified, up to (weakly) equivariant homeomorphism, by their characteristic data. This result extends the classification of quasitoric manifolds by Davis-Januszkiewicz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds Koike, Yuya Kuroki, Shintaro Geometric Topology Algebraic Geometry We introduce the notion of a locally standard $T$-pseudomanifold, a class that generalizes both complete toric varieties and locally standard $T$-manifolds. The main goal of this paper is to show that locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds satisfying certain conditions are completely classified, up to (weakly) equivariant homeomorphism, by their characteristic data. This result extends the classification of quasitoric manifolds by Davis-Januszkiewicz. |
| title | Classification of locally standard $T$-pseudomanifolds over topological stratified pseudomanifolds |
| topic | Geometric Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2511.10153 |