Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909123196485632 |
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| author | Botero, Ana María Kaveh, Kiumars Manon, Christopher |
| author_facet | Botero, Ana María Kaveh, Kiumars Manon, Christopher |
| contents | We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial functions on the polyhedral complex associated to the toric scheme, which factorize through to an extended Bruhat--Tits building. We further motivate this definition from an arithmetic perspective, connecting to the non-Archimedean Arakelov theory of toric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings Botero, Ana María Kaveh, Kiumars Manon, Christopher Algebraic Geometry 14M25, 51E24, 14C17 We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial functions on the polyhedral complex associated to the toric scheme, which factorize through to an extended Bruhat--Tits building. We further motivate this definition from an arithmetic perspective, connecting to the non-Archimedean Arakelov theory of toric varieties. |
| title | Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings |
| topic | Algebraic Geometry 14M25, 51E24, 14C17 |
| url | https://arxiv.org/abs/2402.18712 |