This work demonstrates improved methods for Classifying Fano varieties with terminal singularities, suggesting the utility of mirror symmetry.
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.
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Coates et al. (2025) studied this question.
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