Analytic characterization of nef and good line bundles

DOI10.36045/j.bbms.180904zbMath1460.32032OpenAlexW3107697986MaRDI QIDQ1999140

Dano Kim

Publication date: 18 March 2021

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1605841219

zbMATH Keywords

singular Hermitian metricsline bundles on smooth projective varieties

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Plurisubharmonic functions and generalizations (32U05) Multiplier ideals (14F18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of plurisubharmonic singularities and Siu-type metrics
• Monge-Ampère equations in big cohomology classes
• Asymptotic invariants of base loci
• Minimal singular metrics of a line bundle admitting no Zariski decomposition
• Valuations and plurisubharmonic singularities
• A characterization of nef and good divisors by asymptotic multiplier ideals
• Pluricanonical systems on minimal algebraic varieties
• Zariski decomposition of divisors on algebraic varieties
• Sublevel sets and pull-backs of plurisubharmonic functions
• Skoda division of line bundle sections and pseudo-division
• A transcendental approach to Kollár's injectivity theorem II
• Valuation spaces and multiplier ideals on singular varieties
• Positivity of twisted relative pluricanonical bundles and their direct images
• Jumping numbers of analytic multiplier ideals (with an appendix by S
• Some remarks on nef and good divisors on an algebraic variety
• Note on pull-back and Lelong number of currents
• A subadditivity property of multiplier ideals.
• On minimal singular metrics of certain class of line bundles whose section ring is not finitely generated