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<p>Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {E}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">E</mi> </math></EquationSource> </InlineEquation> 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 <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {E}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">E</mi> </math></EquationSource> </InlineEquation> to be acyclic via Weil decorations.</p>

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Acyclic Toric Sheaves

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月23日

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  • Klaus Altmann,
  • Andreas Hochenegger,
  • Frederik Witt

摘要

Let \(\mathcal {E}\) 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 \(\mathcal {E}\) E to be acyclic via Weil decorations.