# Local mirror symmetry via SYZ

@inproceedings{Gammage2021LocalMS, title={Local mirror symmetry via SYZ}, author={Benjamin Gammage}, year={2021} }

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.

## 2 Citations

### Toric mirror symmetry revisited

- MathematicsComptes Rendus. Mathématique
- 2022

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…

### Family Floer mirror space for local SYZ singularities

- Mathematics
- 2022

A BSTRACT : We state a non-archimedean and Floer-theoretic version of the SYZ conjecture and verify it for Gross’s special Lagrangian ﬁbration in any toric Calabi-Yau manifold. By combining the ideas…

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