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The nonequivariant coherent-constructible correspondence for toric surfaces (1507.05393v2)
Published 20 Jul 2015 in math.AG and math.SG
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.