Discreteness of log discrepancies over log canonical triples on a fixed pair

DOI10.1090/S1056-3911-2014-00630-5zbMath1343.14014arXiv1204.5248OpenAlexW2128706163MaRDI QIDQ2922505

Masayuki Kawakita

Publication date: 10 October 2014

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5248

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Grassmannians, Schubert varieties, flag manifolds (14M15) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20) Multiplier ideals (14F18)

Related Items (12)

A connectedness theorem over the spectrum of a formal power series ring ⋮ Remarks on nef and movable cones of hypersurfaces in Mori dream spaces ⋮ ON BOUNDEDNESS OF DIVISORS COMPUTING MINIMAL LOG DISCREPANCIES FOR SURFACES ⋮ A simple proof of ACC for minimal log discrepancies for surfaces ⋮ Divisors computing minimal log discrepancies on lc surfaces ⋮ Small quotient minimal log discrepancies ⋮ A variant of the effective adjunction conjecture with applications ⋮ The minimal log discrepancies on a smooth surface in positive characteristic ⋮ A boundedness conjecture for minimal log discrepancies on a fixed germ ⋮ An optimal gap of minimal log discrepancies of threefold non-canonical singularities ⋮ On equivalent conjectures for minimal log discrepancies on smooth threefolds ⋮ A gap theorem for minimal log discrepancies of noncanonical singularities in dimension three

Cites Work

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• Desingularization of quasi-excellent schemes in characteristic zero
• Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
• On minimal log discrepancies
• 3-fold log models
• Ideal-adic semi-continuity problem for minimal log discrepancies
• Log canonical thresholds on varieties with bounded singularities
• Towards boundedness of minimal log discrepancies by the Riemann-Roch theorem
• Existence of minimal models for varieties of log general type
• Limits of log canonical thresholds
• Inversion of adjunction for local complete intersection varieties

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