A combinatorial description of stability for toric vector bundles

Lucie Devey

Published 2022-12-21Version 1

The aim of this paper is to give a necessary and sufficient condition for the stability of a toric vector bundle in the combinatorial terms of its parliament of polytopes, a generalization of Newton 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.