The nonequivariant coherent-constructible correspondence for toric surfaces
Algebraic Geometry
2016-04-13 v2 Symplectic Geometry
Abstract
We prove the nonequivariant coherent-constructible correspondence conjectured by Fang-Liu-Treumann-Zaslow in the case of toric surfaces. Our proof is based on describing a semi-orthogonal decomposition of the constructible side under toric point blow-up and comparing it with Orlov's theorem.
Cite
@article{arxiv.1507.05393,
title = {The nonequivariant coherent-constructible correspondence for toric surfaces},
author = {Tatsuki Kuwagaki},
journal= {arXiv preprint arXiv:1507.05393},
year = {2016}
}
Comments
v2: minor revision; 19 pages, 9 figures. To appear in Journal of Differential Geometry