June 5, 2024Open Access

Exceptional Fano varieties with small minimal log discrepancy

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Resumen

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 This Study

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

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

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Bounding minimal log discrepancies of general arrangement varieties2025
2On explicit bounds of Fano threefolds2025
3Fano varieties with conjecturally largest Fano index2024
4On minimal varieties growing from quasismooth weighted hypersurfaces2024 · 4 citations
5Minimal log discrepancies on smooth threefolds2026

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