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arxiv: math/9911207 · v4 · submitted 1999-11-26 · 🧮 math.CT · math.AG

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External tensor product of categories of perverse sheaves

Volodymyr Lyubashenko
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classification 🧮 math.CT math.AG
keywords producttensorexternalperversesheavescategoriesconstructibledeligne
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Under some assumptions we prove that the Deligne tensor product of categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X\times Y. The Deligne external tensor product functor is identified with the geometrical external tensor product.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems

    math.AT 2026-04 unverdicted novelty 7.0

    A dedicated global model structure for K-linear ∞-local systems is constructed via simplicial chain complexes, monoidal for base 1-types under the external tensor product.