Analytic automorphisms of \({\mathbb{C}^2}\) generated by polynomial vector fields

DOI10.1007/s00013-016-0948-5zbMath1360.32017OpenAlexW2504869849MaRDI QIDQ315690

Alvaro Bustinduy

Publication date: 22 September 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0948-5

zbMATH Keywords

vector fieldsautomorphisms of \(\mathbb C^n\)

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the automorphism of \(\mathbb{C}^2\) with invariant axes
• On proper integral curves of polynomial vector fields
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• Complete polynomial vector fields on the complex plane.
• COMPLETE VECTOR FIELDS ON ℂ² WHOSE UNDERLYING FOLIATION IS POLYNOMIAL
• Remarks on automorphisms of ℂ* × ℂ* and their basins
• Sur les opérations holomorphes du groupe additif complexe sur l'espace de deux variables complexes
• On the entire solutions of a polynomial vector field on C^2
• Complete vector fields on (ℂ*)ⁿ
• The density property for complex manifolds and geometric structures

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