Exceptional Fano varieties with small minimal log discrepancy

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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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Esser et al. (Wed,) studied this question.

synapsesocial.com/papers/68e660e5b6db6435875ef585 https://doi.org/https://doi.org/10.48550/arxiv.2406.03570

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5Minimal log discrepancies on smooth threefolds2026

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