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# Perverse Sheaves on Grassmannians

Published:2002-06-01
Printed: Jun 2002
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## Abstract

We compute 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 $\Lambda$.
 Keywords: perverse sheaves, microlocal geometry
 MSC Classifications: 32S60 - Stratifications; constructible sheaves; intersection cohomology [See also 58Kxx] 32C38 - Sheaves of differential operators and their modules, $D$-modules [See also 14F10, 16S32, 35A27, 58J15] 35A27 - Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]

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