2022/10/13 by Coates, Tom, Liana Heuberger, Heuberger, Liana +2
Mathematics · Physics and Astronomy · #14J33 (Primary) #14J45 #52B20 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2210.07328
openalex publication_date 2022/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with ℚ-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 X directly from a Laurent polynomial f that corresponds to it under mirror symmetry.