Quadratic differential equations in three variables without multivalued solutions. I

DOI10.3842/SIGMA.2018.122zbMath1407.34124arXiv1804.10664WikidataQ128947327 ScholiaQ128947327MaRDI QIDQ1755858

Adolfo Guillot

Publication date: 11 January 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10664

zbMATH Keywords

univalencePainlevé propertyRiccati equationChazy equationKowalevski exponentssemicompleteness

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Ordinary differential equations in the complex domain (34M99)

Related Items (3)

Moduli spaces for dynamical systems with portraits ⋮ Multipliers and invariants of endomorphisms of projective space in dimension greater than 1 ⋮ On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line

Uses Software

• Multipliers-of-self-maps-on-P2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some generalizations of Halphen's equations
• Semicompleteness of homogeneous quadratic vector fields
• Finite automorphism groups of complex tori of dimension two
• On systems of differential equations of order two with fixed branch points
• Invariant varieties through singularities of holomorphic vector fields
• Singularités des flots holomorphes. II. (Singularities of holomorphic flows. II.)
• A brief history of Kovalevskaya exponents and modern developments
• On Lins Neto's examples of algebraic foliations
• Elliptic functions and applications
• Singularités des flots holomorphes. (Singularities of holomorphic flows.)
• Fibers of the Baum-Bott map for foliations of degree two on \(\mathbb P^2\)
• On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line
• On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions
• A fixed-point theorem for endomorphisms of the projective space with applications to algebraic foliations
• The Geometry of Chazy's Homogeneous Third-Order Differential Equations
• Semicomplete meromorphic vector fields on complex surfaces
• Remembering Sofya Kovalevskaya
• Some examples for the Poincaré and Painlevé problems
• Higher‐Order Painlevé Equations in the Polynomial Class II: Bureau Symbol P1
• Sur des systèmes différentiels du second ordre dont l'intégrale générale est uniforme
• Further Riccati Differential Equations with Elliptic Coefficients and Meromorphic Solutions
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Chazy Classes IX–XI Of Third‐Order Differential Equations
• Spectra of quadratic vector fields on $\mathbb{C}^2$: The missing relation
• A global formulation of the Lie theory of transformation groups
• Necessary condition for the existence of algebraic first integrals
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

This page was built for publication: Quadratic differential equations in three variables without multivalued solutions. I