On foliations in neighborhoods of elliptic curves

DOI10.1007/s40598-016-0038-6zbMath1344.32006OpenAlexW2320081581MaRDI QIDQ726610

Mikhail B. Mishustin

Publication date: 12 July 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-016-0038-6

zbMATH Keywords

foliationsneighborhoods of elliptic curves

Mathematics Subject Classification ID

Elliptic curves (14H52) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (2)

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

Cites Work

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• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field
• Normal form of differential equations with a small parameter
• Neighborhoods of the Riemann sphere in complex surfaces
• Neighborhoods of Riemann curves in complex spaces

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