Neighborhoods of Riemann curves in complex spaces

DOI10.1007/BF01077038zbMath0846.32012MaRDI QIDQ1907470

Mikhail B. Mishustin

Publication date: 25 February 1996

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

deformation spacenormal bundleformal neighborhoodample normal bundlecompact algebraic curvecomplex two-dimensional smooth surfaceembedded Riemann surfacepositive normal bundle

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Surfaces and higher-dimensional varieties (14J99) Curves in algebraic geometry (14H99) Deformations of submanifolds and subspaces (32G10)

Related Items (3)

Formal classification of two-dimensional neighborhoods of genus \(g\geq 2\) curves with trivial normal bundle ⋮ On foliations in neighborhoods of elliptic curves ⋮ Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case

Cites Work

• Wave equation scattering in even-dimensional spaces
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Über Modifikationen und exzeptionelle analytische Mengen
• On Stability of Compact Submanifolds of Complex Manifolds
• On a Differential-Geometric Method in the Theory of Analytic Stacks

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