The Intersection Cohomology and Derived Category of Algebraic Stacks

Part of the NATO ASI Series book series (ASIC, volume 407)


The present paper provides an extension of the theory of perverse sheaves to algebraic stacks and therefore to moduli problems ℚ-varieties, algebraic spaces, etc. We also include a detailed study of the intersection cohomology of algebraic stacks and their associated moduli spaces. Smooth group scheme actions on singular varieties and the associated derived category turn up as special cases of the more general results on algebraic stacks.


Spectral Sequence Finite Type Algebraic Space Perverse Sheave Intersection Cohomology 
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© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  1. 1.Mathematics DepartmentOhio State UniversityColumbusUSA

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