Minimal singular metrics of a line bundle admitting no Zariski decomposition

DOI10.2748/TMJ/1435237045zbMath1326.32031arXiv1304.1289OpenAlexW2963807842MaRDI QIDQ888379

Takayuki Koike

Publication date: 30 October 2015

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1289

zbMATH Keywords

Lelong numbersminimal singular metricsmultiplier ideal sheavesZariski decompositionsKiselman numbersnon-nef loci

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (3)

K-stability and Fujita approximation ⋮ Analytic characterization of nef and good line bundles ⋮ On metrics with minimal singularities of line bundles whose stable base loci admit holomorphic tubular neighborhoods

Cites Work

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• Toric plurisubharmonic functions and analytic adjoint ideal sheaves
• Valuations and plurisubharmonic singularities
• Jumping coefficients of multiplier ideals
• Zariski-decomposition and abundance
• Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
• Divisorial Zariski decompositions on compact complex manifolds
• A subadditivity property of multiplier ideals.

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