Geodesic
Infinitesimal structure of log canonical thresholds
Documenta mathematica, Tome 29 (2024) no. 3, pp. 703-732
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We show that log canonical thresholds of fixed dimension are standardized. More precisely, we show that any sequence of log canonical thresholds in fixed dimension d accumulates either (i) in a way which is similar to how standard and hyperstandard sets accumulate, or (ii) to log canonical thresholds in dimension ≤d−2. This provides an accurate description on the infinitesimal structure of the set of log canonical thresholds. We also discuss similar behaviors of minimal log discrepancies, canonical thresholds, and K-semistable thresholds.
DOI : 10.4171/dm/952
Classification : 14B05, 14E30
Mots-clés : log canonical threshold, accumulation point, minimal log discrepancy 
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Jihao Liu; Fanjun Meng; Lingyao Xie. Infinitesimal structure of log canonical thresholds. Documenta mathematica, Tome 29 (2024) no. 3, pp. 703-732. doi: 10.4171/dm/952

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