Work

Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds

Year: 2025

Type: article

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.

Source: Transactions of the London Mathematical Society

DOI: 10.1112/tlm3.70012

Authors: Tom Coates, Liana Heuberger, Alexander M. Kasprzyk

Institutions: Imperial College London, Institut de Mathématiques de Marseille, University of Warwick

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

OpenAlex ID: W4414409496

FWCI: 1.762

Cites: 52

Cited by: 1

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