The nonequivariant coherent-constructible correspondence and tilting
Algebraic Geometry
2014-03-07 v2 Representation Theory
Abstract
The coherent-constructible correspondence is a relationship between coherent sheaves on a toric variety X, and constructible sheaves on a real torus T. This was discovered by Bondal, and explored in the equivariant setting by Fang, Liu, Treumann and Zaslow. In this paper we collect partial results towards a proof of the non equivariant coherent-constructible correspondence. Also, we give applications to the construction of tilting complexes in the derived category of toric DM stacks.
Keywords
Cite
@article{arxiv.1402.3360,
title = {The nonequivariant coherent-constructible correspondence and tilting},
author = {Sarah Scherotzke and Nicolò Sibilla},
journal= {arXiv preprint arXiv:1402.3360},
year = {2014}
}
Comments
Small edits, typos fixed. Comments always welcome!