Toric mirror symmetry revisited

Shende, Vivek

Comptes Rendus. Mathématique, Tome 360 (2022) no. G7, pp. 751-759.

The Cox construction presents a toric variety as a quotient of affine space by a torus. The category of coherent sheaves on the corresponding stack thus has an evident description as invariants in a quotient of the category of modules over a polynomial ring. Here we give the mirror to this description, and in particular, a clean new proof of mirror symmetry for smooth toric stacks.

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