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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

A combinatorial description of stability for toric vector bundles

Résumé

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.
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Dates et versions

hal-03903749 , version 1 (20-12-2022)
hal-03903749 , version 2 (09-08-2023)
hal-03903749 , version 3 (11-09-2023)

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Lucie Devey. A combinatorial description of stability for toric vector bundles. 2022. ⟨hal-03903749v1⟩
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