Koszul duality and semisimplicity of Frobenius - Archive ouverte HAL Access content directly
Journal Articles Annales de l'Institut Fourier Year : 2013

Koszul duality and semisimplicity of Frobenius

Abstract

A fundamental result of Beilinson-Ginzburg-Soergel states that on flag varieties and related spaces, a certain modified version of the category of l-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.
Fichier principal
Vignette du fichier
orlov8.pdf (652.81 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00565745 , version 1 (14-02-2011)

Identifiers

  • HAL Id : hal-00565745 , version 1

Cite

Pramod N. Achar, Simon Riche. Koszul duality and semisimplicity of Frobenius. Annales de l'Institut Fourier, 2013, 63, pp.1511-1612. ⟨hal-00565745⟩
119 View
147 Download

Share

Gmail Facebook X LinkedIn More