Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings
Algebraic Geometry
2024-03-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2402.18712,
title = {Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings},
author = {Ana María Botero and Kiumars Kaveh and Christopher Manon},
journal= {arXiv preprint arXiv:2402.18712},
year = {2024}
}
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