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arXiv · 2504.21483

Functoriality of toric coherent-constructible correspondence

Yuze Sun
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Abstract

A morphism from a diagonalizable group $G$ to the torus of a toric variety $X$ induces an action of $G$ on $X$. We prove the category of ind-coherent sheaves on the quotient stack is equivalent to the category of sheaves on a cover of a real torus with singular supports contained in the FLTZ skeleton, extending Kuwagaki's nonequivariant coherent-constructible correspondence arXiv:1610.03214. We also investigate the functoriality of such correspondence for toric morphisms and inclusions of orbit closures.

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Yuze Sun. 2025-04-30. Functoriality of toric coherent-constructible correspondence. https://arxiv.org/abs/2504.21483

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