Title

Koszul duality and semisimplicity of frobenius

Document Type

Article

Publication Date

11-25-2013

Abstract

A fundamental result of Beǐlinson-Ginzburg-Soergel states that on flag varieties and related spaces, a certain modified version of the category of adic perverse sheaves exhibits a phenomenon known as Koszul duality. The modification essentially consists of discarding objects whose stalks carry a nonsemisimple action of Frobenius. In this paper, we prove that a number of common sheaf functors (various pull-backs and push-forwards) induce corresponding functors on the modified category or its triangulated analogue. In particular, we show that these functors preserve semisimplicity of the Frobenius action. © Association des Annales de l'institut Fourier, 2013.

Publication Source (Journal or Book title)

Annales de l'Institut Fourier

First Page

1511

Last Page

1612

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