On minimal singular metrics of certain class of line bundles whose section ring is not finitely generated

DOI10.5802/aif.2978zbMath1339.32007arXiv1312.6402OpenAlexW2963816257MaRDI QIDQ5962660

Takayuki Koike

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6402

zbMATH Keywords

minimal singular metricsZariski's example

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

Smooth and rough positive currents, Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points, Toward a higher codimensional Ueda theory, HIGHER CODIMENSIONAL UEDA THEORY FOR A COMPACT SUBMANIFOLD WITH UNITARY FLAT NORMAL BUNDLE, Analytic characterization of nef and good line bundles, Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations, On metrics with minimal singularities of line bundles whose stable base loci admit holomorphic tubular neighborhoods, Arnol'd's type theorem on a neighborhood of a cycle of rational curves, Linearization of transition functions of a semi-positive line bundle along a certain submanifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monge-Ampère equations in big cohomology classes
• Vanishing theorems on complete Kähler manifolds
• Über Modifikationen und exzeptionelle analytische Mengen
• Lectures in modern analysis and applications. I
• A transcendental approach to Kollár's injectivity theorem II
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS