English

External tensor product of categories of perverse sheaves

Category Theory 2008-02-15 v4 Algebraic Geometry

Abstract

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.

Cite

@article{arxiv.math/9911207,
  title  = {External tensor product of categories of perverse sheaves},
  author = {Volodymyr Lyubashenko},
  journal= {arXiv preprint arXiv:math/9911207},
  year   = {2008}
}

Comments

18 pages, AmsLaTeX 1.2 + diagrams.tex; published