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arXiv · 2505.22333

Acyclic toric sheaves

Klaus Altmann·Andreas Hochenegger·Frederik Witt
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Abstract

Let $\mathcal E$ be a torus-linearised reflexive sheaf over a smooth projective toric variety. Generalising a theorem of Perlman and Smith, we prove an explicit sufficient condition for $\mathcal E$ to be acyclic via Weil decorations.

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Klaus Altmann, Andreas Hochenegger, Frederik Witt. 2025-05-28. Acyclic toric sheaves. https://doi.org/10.1007/s10468-026-10383-8

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