Comptes Rendus
Géométrie algébrique, Physique mathématique
Toric mirror symmetry revisited
Comptes Rendus. Mathématique, Volume 360 (2022), 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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DOI : 10.5802/crmath.304

Vivek Shende 1, 2

1 Center for Quantum Mathematics, University of Southern Denmark, Campusvej 55, Odense 5230, Denmark
2 Department of Mathematics, UC Berkeley, Berkeley CA 94720, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Vivek Shende. Toric mirror symmetry revisited. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 751-759. doi : 10.5802/crmath.304. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.304/

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