Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities

DOI10.1007/s12220-008-9056-5zbMath1173.32014arXiv0711.3782OpenAlexW1537535166MaRDI QIDQ836238

Gabriel Vigny

Publication date: 31 August 2009

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3782

zbMATH Keywords

self-intersectioncompact Kähler manifoldLelong numberspositive closed currentLelong-Skoda transformpluripotential

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Lelong numbers (32U25) Currents (32U40) General pluripotential theory (32U15)

Related Items (5)

Volume of components of Lelong upper-level sets ⋮ Lelong numbers on projective varieties ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms ⋮ Geometric properties of upper level sets of Lelong numbers on projective spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super-potentials of positive closed currents, intersection theory and dynamics
• Prolongement des courants, positifs, fermes de masse finie
• Arithmetic intersection theory
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Polynomial hulls and positive currents
• Oka's inequality for currents and applications
• Harmonic currents of finite energy and laminations
• Lelong numbers of positive plurisubharmonic currents
• Regularization of currents and entropy
• Sur les variétés analytiques complexes
• Equidistribution towards the Green current for holomorphic maps
• Heights of Projective Varieties and Positive Green Forms
• Green currents for holomorphic automorphisms of compact Kähler manifolds
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$

This page was built for publication: Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities