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Decomposition of toric sheaves

Carl Tipler

Source record

Source: arXiv

Published: Oct 3, 2026

arXiv: 2610.04603

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Source abstract

We show that the abelian category of coherent toric sheaves is generated, as a Serre subcategory, by pushforwards of rank one reflexive sheaves supported on invariant subvarieties. As an application, we extend previous results by Klyachko on cohomology of toric vector bundles to coherent toric sheaves.

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