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The nonequivariant coherent-constructible correspondence for toric stacks

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arxiv 1610.03214 v4 pith:PSZQ35V5 submitted 2016-10-11 math.SG math.AG

Tatsuki Kuwagaki This is my paper · ORCID
classification math.SGmath.AG
keywords toriccorrespondencenonequivariantstacksvarietiescategoriesclasscoherent-constructible
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abstract

The nonequivariant coherent-costructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang-Liu-Treumann-Zaslow. We prove a generalization of this conjecture for a class of toric stacks which includes any toric varieties and toric orbifolds. Our proof is based on gluing descriptions of $\infty$-categories of both sides.

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Cited by 1 Pith paper

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  1. Line Bundle Resolutions via the Coherent-Constructible Correspondence

    math.AG 2024-11 accept novelty 6.0 of 10

    On smooth projective toric varieties, every coherent sheaf has a minimal line bundle resolution of length at most the dimension, and for toric subvarieties the Betti numbers are compactly supported cohomology groups o...

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