Ideal-adic semi-continuity problem for minimal log discrepancies

DOI10.1007/s00208-012-0885-yzbMath1309.14013arXiv1012.0395OpenAlexW1989916900MaRDI QIDQ2392804

Masayuki Kawakita

Publication date: 2 August 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0395

zbMATH Keywords

minimal log discrepanciessemi-continuity problem

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Deformations of singularities (14B07) Arcs and motivic integration (14E18)

Related Items (4)

A connectedness theorem over the spectrum of a formal power series ring ⋮ Discreteness of log discrepancies over log canonical triples on a fixed pair ⋮ Ideal-adic semi-continuity of minimal log discrepancies on surfaces ⋮ A boundedness conjecture for minimal log discrepancies on a fixed germ

Cites Work

• Inversion of adjunction on log canonicity
• Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
• Germs of arcs on singular algebraic varieties and motivic integration
• Jet schemes, log discrepancies and inversion of adjunction
• 3-fold log models
• Rational points in Henselian discrete valuation rings
• Log canonical thresholds on varieties with bounded singularities
• Towards boundedness of minimal log discrepancies by the Riemann-Roch theorem
• On a comparison of minimal log discrepancies in terms of motivic integration
• Existence of minimal models for varieties of log general type
• Limits of log canonical thresholds
• 3-FOLD LOG FLIPS
• Inversion of adjunction for local complete intersection varieties
• Rational points in Henselian discrete valuation rings
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