Exceptional Fano varieties with small minimal log discrepancy

Louis Esser, Jihao Liu, Chengxi Wang

Type: Preprint

Publication Date: 2024-06-05

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2406.03570

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.

Locations

arXiv (Cornell University) - View - PDF

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