Toric mirror symmetry revisited

Autor: Shende, Vivek
Jazyk: English<br />French
Rok vydání: 2022
Předmět:
Zdroj: Comptes Rendus. Mathématique, Vol 360, Iss G7, Pp 751-759 (2022)
Druh dokumentu: article
ISSN: 1778-3569
DOI: 10.5802/crmath.304
Popis: 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.
Databáze: Directory of Open Access Journals