Toricmirror symmetry revisited

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Abstract

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.
Original languageEnglish
JournalComptes Rendus Mathématique
Volume360
Issue number1
Pages (from-to)751-759
ISSN1631-073X
DOIs
Publication statusPublished - 2022

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