A Vanishing Theorem for Formal Cohomology of Perverse Sheaves
نویسندگان
چکیده
منابع مشابه
Perverse Cohomology and the Vanishing Index Theorem
The characteristic cycle of a complex of sheaves on a complex analytic space provides weak information about the complex; essentially, it yields the Euler characteristics of the hypercohomology of normal data to strata. We show how perverse cohomology actually allows one to extract the individual Betti numbers of the hypercohomology of normal data to strata, not merely the Euler characteristics...
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These notes are my continuing effort to provide a sort of working mathematician’s guide to the derived category and perverse sheaves. They began as handwritten notes for David Mond and his students, and then I decided to type them for possible inclusion as an appendix in a paper. Now, however, these notes represent more of a journal of my understanding of this machinery; whenever I believe that...
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The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and for the closure of the minimal non-trivial orbit in a simple Lie algebra. This work has applications to modular representation theory, for Weyl g...
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We give a complete quiver description of the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification. The calculation is microlocal, and uses the action of the Borel group to study the geometry of the conormal variety Λ.
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where t· x denotes the action of t on x. The set Xw is known to be a locally-closed c* -stable algebraic subvariety of X isomorphic to an affine space. The pieces Xw form a cell decomposition X = UWEW XW ' W E W, the socalled Bialynicki-Birula decomposition. We assume this decomposition to be an algebraic stratification of X (the closure of a cell may not be a union of cells, in general). Let ....
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1998
ISSN: 0022-1236
DOI: 10.1006/jfan.1998.3287