The affine Grassmannian and the Springer resolution in positive characteristic.
In: Compositio Mathematica, Jg. 152 (2016-12-01), Heft 12, S. 2627-2677
Online
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Zugriff:
An important result of Arkhipov–Bezrukavnikov–Ginzburg relates constructible sheaves on the affine Grassmannian to coherent sheaves on the dual Springer resolution. In this paper, we prove a positive-characteristic analogue of this statement, using the framework of ‘mixed modular sheaves’ recently developed by the first author and Riche. As an application, we deduce a relationship between parity sheaves on the affine Grassmannian and Bezrukavnikov’s ‘exotic t-structure’ on the Springer resolution. [ABSTRACT FROM AUTHOR]
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The affine Grassmannian and the Springer resolution in positive characteristic.
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Autor/in / Beteiligte Person: | Achar, Pramod N. ; Rider, Laura |
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Zeitschrift: | Compositio Mathematica, Jg. 152 (2016-12-01), Heft 12, S. 2627-2677 |
Veröffentlichung: | 2016 |
Medientyp: | academicJournal |
ISSN: | 0010-437X (print) |
DOI: | 10.1112/S0010437X16007661 |
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