Perverse Sheaves

  • Reinhardt Kiehl
  • Rainer Weissauer
Chapter
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 42)

Abstract

The theory of perverse sheaves historically emerged from several independent directions. One of them was the theory of intersection cohomology of Goresky-MacPherson, which originally was not defined in terms of sheaf theory but rather using explicit chain complexes. Perhaps stimulated by the Kazhdan-Lusztig conjectures it was Deligne, who gave a reformulation of the notion of intersection cohomology within the setting of sheaf theory. In this form intersection cohomology can be defined also for finitely generated schemes over a field of characteristic zero, over a finite field or over the algebraic closure of a finite field.

Keywords

Filtration Stratification Convolution Tate Nite 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Reinhardt Kiehl
    • 1
  • Rainer Weissauer
    • 2
  1. 1.Institut für Mathematik und InformatikUniversität MannheimMannheimGermany
  2. 2.Mathematisches InstitutUniversität HeidelbergHeidelbergGermany

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