The nonequivariant coherentconstructible corresp

Authors: Sarah Scherotzke Nicolò Sibilla

Publish Date: 2015/09/09

Volume: 22, Issue: 1, Pages: 389-416

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Abstract

The coherentconstructible CC correspondence is a relationship between coherent sheaves on a toric variety X and constructible sheaves on a real torus mathbb T This was discovered by Bondal and established in the equivariant setting by Fang Liu Treumann and Zaslow In this paper we explore various aspects of the nonequivariant CC correspondence Also we use the nonequivariant CC correspondence to prove the existence of tilting complexes in the derived categories of toric orbifolds satisfying certain combinatorial conditions This has applications to a conjecture of KingWe thank David Treumann and Eric Zaslow for their interest in this project We thank particularly David Treumann for many useful discussions Claus Ringel kindly answered some of our questions SS thanks the Mathematical Institute for funding and providing a stimulating environment NS thanks the Max Planck Institute for Mathematics for excellent working conditions

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