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Exterior Tensor Product of Perverse Sheaves

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Abstract

Under certain assumptions, we prove that the Deligne tensor product of the categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X×Y. The functor of the exterior Deligne tensor product is identified with the exterior geometric tensor product.

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Lyubashenko, V.V. Exterior Tensor Product of Perverse Sheaves. Ukrainian Mathematical Journal 53, 354–367 (2001). https://doi.org/10.1023/A:1012384019661

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