Exceptional Fano varieties with small minimal log discrepancy
Algebraic Geometry
2024-06-07 v1
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.
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Cite
@article{arxiv.2406.03570,
title = {Exceptional Fano varieties with small minimal log discrepancy},
author = {Louis Esser and Jihao Liu and Chengxi Wang},
journal= {arXiv preprint arXiv:2406.03570},
year = {2024}
}
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28 pages