English

A combinatorial description of stability for toric vector bundles

Algebraic Geometry 2023-09-13 v3 Combinatorics

Abstract

The aim of this paper is to discuss a combinatorial characterisation of stability for toric vector bundles (or equivariant reflexive sheaves) in the terms of their parliaments of polytopes, a generalization of moment polytopes for toric vector bundles by Di Rocco, Jabbusch and Smith. We also define subparliaments of polytopes and identify them with parliaments of equivariant subbundles.

Keywords

Cite

@article{arxiv.2212.11020,
  title  = {A combinatorial description of stability for toric vector bundles},
  author = {Lucie Devey},
  journal= {arXiv preprint arXiv:2212.11020},
  year   = {2023}
}
R2 v1 2026-06-28T07:46:50.729Z