On the exotic t-structure in positive characteristic. (English) Zbl 1404.14022
Summary: 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.
MSC:
14F05 | Sheaves, derived categories of sheaves, etc. (MSC2010) |
14L10 | Group varieties |
14M15 | Grassmannians, Schubert varieties, flag manifolds |