Semi-continuity of the Diederich–Fornaess and Steinness indices

DOI10.1142/S0129167X20501074MaRDI QIDQ5146664

Jihun Yum, Young-Jun Choi

Publication date: 26 January 2021

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

Full work available at URL: https://arxiv.org/abs/2004.06087

zbMATH Keywords

Diederich-Fornaess indexSteinness indexdeformation of pseudoconvex domains

Mathematics Subject Classification ID

Deformations of complex structures (32G05) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Plurisubharmonic exhaustion functions (32U10)

Cites Work

• Unnamed Item
• De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
• Analysis and geometry on worm domains
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Finite type conditions for real hypersurfaces
• Topology of singular fibers of differentiable maps
• The Diederich-Fornæss index. I: For domains of non-trivial index
• On the Steinness index
• CR-invariance of the Steinness index

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