4.4 Article

The non-equivariant coherent-constructible correspondence and a conjecture of King

Journal

SELECTA MATHEMATICA-NEW SERIES
Volume 22, Issue 1, Pages 389-416

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00029-015-0193-y

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Funding

  1. Mathematical Institute

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The coherent-constructible (CC) correspondence is a relationship between coherent sheaves on a toric variety X and constructible sheaves on a real torus . 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 non-equivariant CC correspondence. Also, we use the non-equivariant 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 King.

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