Local mirror symmetry via SYZ

Abstract

In this note, we explain how mirror symmetry for basic local models in the Gross-Siebert program can be understood through the non-toric blowup construction described by Gross-Hacking-Keel. This is part of a program to understand the symplectic geometry of affine cluster varieties through their SYZ fibrations.

arXiv comment14 pages. v2: Added details on polarizations, pushout of categories, and Liouville homotopy

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