The nonequivariant coherent-constructible correspondence for toric surfaces
classification
🧮 math.AG
math.SG
keywords
toriccoherent-constructiblecorrespondencenonequivariantsurfacesblow-upcasecomparing
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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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