External tensor product of categories of perverse sheaves

Mathematics – Category Theory

Scientific paper

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18 pages, AmsLaTeX 1.2 + diagrams.tex; published

Scientific paper

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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