Hartogs extension theorems on Stein spaces

DOI10.1007/s12220-010-9134-3zbMath1204.32008arXiv0812.3379OpenAlexW2136995561MaRDI QIDQ601114

Nils Øvrelid, Sophia K. Vassiliadou

Publication date: 3 November 2010

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

Full work available at URL: https://arxiv.org/abs/0812.3379

zbMATH Keywords

cohomology groupssingularityCauchy-Riemann equationStein spacesHartogs extension theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Germs of analytic sets, local parametrization (32B10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (6)

\(L ^{2}\)-\(\overline{\partial}\)-cohomology groups of some singular complex spaces ⋮ The Hartogs extension phenomenon in toric varieties ⋮ On the Hartogs extension theorem for unbounded domains in \(\mathbb{C}^n\) ⋮ Hartogs-type extension for tube-like domains in \(\mathbb C^2\) ⋮ Weighted Koppelman formulas and the \(\bar\partial\)-equation on an analytic space ⋮ Semiglobal results for $\overline∂$ on complex spaces with arbitrary singularities, Part II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted Koppelman formulas and the \(\bar\partial\)-equation on an analytic space
• A \(\overline{\partial}\)-theoretical proof of Hartogs' extension theorem on Stein spaces with isolated singularities
• Relative vanishing theorems in analytic spaces
• Fourier-Laplace transforms and related questions on certain analytic varieties in \(\mathbb C^2\)
• Vector fields on analytic spaces
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Gap-sheaves and extension of coherent analytic subsheaves
• Semiglobal results for $\overline∂$ on complex spaces with arbitrary singularities, Part II
• Théorèmes de finitude pour la cohomologie des espaces complexes
• The Hartogs extension theorem on (n – 1)-complete complex spaces
• On Hartogs' extension theorem on (n – 1)-complete complex spaces
• Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities
• Some Remarks about a Theorem of Hartogs
• The Theory of Hyperfunctions on Totally Real Subsets of a Complex Manifold with Applications to Extension Problems

This page was built for publication: Hartogs extension theorems on Stein spaces