Mirror Symmetry, Laurent Inversion and the Classification of $\mathbb{Q}$-Fano Threefolds
Algebraic Geometry
2022-10-17 v1
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.
Cite
@article{arxiv.2210.07328,
title = {Mirror Symmetry, Laurent Inversion and the Classification of $\mathbb{Q}$-Fano Threefolds},
author = {Tom Coates and Liana Heuberger and Alexander M. Kasprzyk},
journal= {arXiv preprint arXiv:2210.07328},
year = {2022}
}
Comments
32 pages, 17 figures. Comments welcome