The nonequivariant coherent-constructible correspondence for toric surfaces

2015/07/20 by Tatsuki Kuwagaki, Kuwagaki, Tatsuki · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1507.05393

openalex publication_date 2015/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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