Local mirror symmetry via SYZ
Symplectic Geometry
2024-08-05 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2105.12863,
title = {Local mirror symmetry via SYZ},
author = {Benjamin Gammage},
journal= {arXiv preprint arXiv:2105.12863},
year = {2024}
}
Comments
14 pages. v2: Added details on polarizations, pushout of categories, and Liouville homotopy