GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES

DOI10.1142/S0129167X05002904zbMath1085.32018arXivmath/0408407MaRDI QIDQ4675808

Ragnar Sigurdsson, Alexander Rashkovskii

Publication date: 6 May 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408407

zbMATH Keywords

analytic spreadcomplex spacepluricomplex Green functionmaximal plurisubharmonic functionMonge-Ampère current

Mathematics Subject Classification ID

Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (18)

LIMITS OF MULTIPOLE PLURICOMPLEX GREEN FUNCTIONS ⋮ Convergence and multiplicities for the Lempert function ⋮ Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity ⋮ Limit of Green Functions and Ideals, the Case of Four Poles ⋮ A log Canonical Threshold Test ⋮ Rooftop envelopes and residual plurisubharmonic functions ⋮ Envelopes with prescribed singularities ⋮ Multi-circled singularities, Lelong numbers, and integrability index ⋮ Envelopes of positive metrics with prescribed singularities ⋮ Analytic approximations of plurisubharmonic singularities ⋮ Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom) ⋮ On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem in higher dimensional case ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Normal surface singularities admitting contracting automorphisms ⋮ Green functions, Segre numbers, and King's formula ⋮ Quasibounded plurisubharmonic functions ⋮ The closures of test configurations and algebraic singularity types ⋮ A disc formula for plurisubharmonic subextensions in manifolds

Cites Work

• Unnamed Item
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• The pluricomplex Green function with two poles of the unit ball of \(\mathbb{C}^n\)
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• The Lelong number of a point of a complex analytic set
• On the product property of the pluricomplex Green function

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