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arXiv · 1412.6818

On the exotic t-structure in positive characteristic

Carl Mautner·Simon Riche
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Abstract

In this paper we study Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of a connected reductive algebraic group defined over a field of positive characteristic with simply-connected derived subgroup. In particular, we show that the heart of the exotic t-structure is a graded highest weight category, and we study the tilting objects in this heart. Our main tool is the "geometric braid group action" studied by Bezrukavnikov and the second author.

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Carl Mautner, Simon Riche. 2014-12-21. On the exotic t-structure in positive characteristic. https://arxiv.org/abs/1412.6818

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