The utmost rigidity property for quadratic foliations on \(\mathbb {P}^2\) with an invariant line

DOI10.1007/s40590-016-0127-5zbMath1381.37059arXiv1410.5840OpenAlexW2265320770MaRDI QIDQ1694991

Valente Ramírez

Publication date: 6 February 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5840

zbMATH Keywords

holonomy groupholomorphic foliationtopological rigidity

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

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• On topological rigidity of phase-portraits in the complex plane
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• Moduli spaces of germs of holomorphic foliations in the plane
• Strong topological invariance of the monodromy group at infinity for quadratic vector fields
• On topological rigidity of projective foliations
• Total rigidity of generic quadratic vector fields

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