Modular perverse sheaves on flag varieties III: Positivity conditions

Author:

Achar Pramod,Riche Simon

Abstract

We further develop the general theory of the “mixed modular derived category” introduced by the authors in a previous paper in this series. We then use it to study positivity and Q Q -Koszulity phenomena on flag varieties.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference35 articles.

1. Koszul duality and semisimplicity of Frobenius;Achar, Pramod N.;Ann. Inst. Fourier (Grenoble),2013

2. Modular perverse sheaves on flag varieties I: tilting and parity sheaves;Achar, Pramod N.;Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4),2016

3. Modular perverse sheaves on flag varieties, II: Koszul duality and formality;Achar, Pramod N.;Duke Math. J.,2016

4. Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture;Achar, Pramod N.;Acta Math.,2015

5. Baric structures on triangulated categories and coherent sheaves;Achar, Pramod N.;Int. Math. Res. Not. IMRN,2011

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