Log canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly
Ivan Cheltsov, Constantin Shramov
TL;DR
This paper calculates the global log canonical thresholds for certain smooth Fano threefolds, providing insights into their singularity properties and stability.
Contribution
It introduces explicit computations of log canonical thresholds for specific classes of smooth Fano threefolds, advancing understanding in algebraic geometry.
Findings
Computed thresholds for various Fano threefolds
Identified thresholds related to geometric stability
Extended previous results on Fano varieties
Abstract
We compute global log canonical thresholds of some smooth Fano threefolds.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows