Semicomplete meromorphic vector fields on complex surfaces

DOI10.1515/CRELLE.2011.127zbMath1250.32023OpenAlexW1999568408MaRDI QIDQ2898922

Julio C. Rebelo, Adolfo Guillot

Publication date: 12 July 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2011.127

zbMATH Keywords

curve of polessemicomplete meromorphic vector fieldvector field on a compact complex Kähler surface

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (13)

Ramanujan-type systems of nonlinear ODEs for \(\Gamma_0 (2)\) and \(\Gamma_0 (3)\) ⋮ Foliated affine and projective structures ⋮ 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\) ⋮ Complete algebraic vector fields on affine surfaces ⋮ Unnamed Item ⋮ Some generalizations of Halphen's equations ⋮ Vector fields, separatrices and Kato surfaces ⋮ Quadratic differential equations in three variables without multivalued solutions. I ⋮ On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line ⋮ Meromorphic vector fields with single-valued solutions on complex surfaces ⋮ Surfaces with big automorphism groups ⋮ On the resolution of singularities of one-dimensional foliations on three-manifolds ⋮ Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds

Cites Work

• Some remarks on indices of holomorphic vector fields
• Complete polynomial vector fields on the complex plane.
• On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
• Singularités des flots holomorphes. II. (Singularities of holomorphic flows. II.)
• A general notion of shears, and applications
• Singularités des flots holomorphes. (Singularities of holomorphic flows.)
• Meromorphic vector fields and elliptic fibrations
• Complete algebraic vector fields on affine surfaces. II
• Regular foliations along curves

This page was built for publication: Semicomplete meromorphic vector fields on complex surfaces