Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties

Fiebig P, Williamson G (2014)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Annales de l'Institut Fourier Association des Annales de l'Institute Fourier; 1999

Publisher: Association des Annales de l'Institute Fourier; 1999

Book Volume: 64

Pages Range: 489-536

Journal Issue: 2

DOI: 10.5802/aif.2856

Abstract

We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the p-smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

Involved external institutions

Max-Planck-Institut für Mathematik (MPIM) DE Germany (DE)

How to cite

APA:

Fiebig, P., & Williamson, G. (2014). Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties. Annales de l'Institut Fourier, 64(2), 489-536. https://dx.doi.org/10.5802/aif.2856

MLA:

Fiebig, Peter, and Geordie Williamson. "Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties." Annales de l'Institut Fourier 64.2 (2014): 489-536.

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