Exceptional Fano varieties with small minimal log discrepancy

Mathematical Research Letters 2026 Open access

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Authors: Louis Esser, Jihao Liu, Chengxi Wang
DOI: 10.4310/mrl.260502161650
Cited by: 0

Abstract

We construct exceptional Fano varieties with the smallest known minimal log discrepancies in all dimensions. These varieties are well-formed hypersurfaces in weighted projective space. Their minimal log discrepancies decay doubly exponentially with dimension, and achieve the optimal value in dimension 2.

Fields of Study & Subjects

Analytic Number Theory Research Algebraic Geometry and Number Theory Mathematical Dynamics and Fractals

Publication details

Journal / source
Mathematical Research Letters
Publisher
International Press of Boston
Volume
33
Issue
1
Pages
161–198
Publication date
1 January 2026
Language
EN