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Mathematics > Algebraic Geometry

arXiv:1807.07135 (math)
[Submitted on 18 Jul 2018 (v1), last revised 24 Jul 2018 (this version, v2)]

Title:Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces

Authors:Ivan A. Cheltsov, Yanir A. Rubinstein, Kewei Zhang
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Abstract:The purpose of this article is to develop techniques for estimating basis log canonical thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates that imply log canonicity. Our main motivation and application is to show the existence of Kahler-Einstein edge metrics on all but finitely many families of asymptotically log del Pezzo surfaces, partially confirming a conjecture of two of us. In an appendix we show that the basis log canonical threshold of Fujita-Odaka coincides with the greatest lower Ricci bound invariant of Tian.
Comments: v2: minor changes
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG)
Cite as: arXiv:1807.07135 [math.AG]
  (or arXiv:1807.07135v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.07135
Journal reference: Selecta Math. 25 (2019), 1-36
Related DOI: https://doi.org/10.1007/s00029-019-0473-z

Submission history

From: Yanir A. Rubinstein [view email]
[v1] Wed, 18 Jul 2018 20:29:54 UTC (29 KB)
[v2] Tue, 24 Jul 2018 21:54:16 UTC (30 KB)
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