Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with ‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety directly from a Laurent polynomial that corresponds to it under mirror symmetry.
Authors
- Alexander Kasprzyk (ORCID: https://orcid.org/0000-0003-2340-5257)
- Thomas D. Coates (ORCID: https://orcid.org/0000-0001-9878-6029)
- Liana Heuberger (ORCID: https://orcid.org/0000-0002-8038-9620)
Institutions
- University of Warwick (GB)
- Institut de Mathématiques de Marseille (FR)
- Institut Polytechnique de Bordeaux (FR)
- Imperial College London (GB)
Publication Details
- Journal
- Transactions of the London Mathematical Society
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1112/tlm3.70012
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00