Hilbert modular foliations on the projective plane

DOI10.4171/CMH/14zbMath1084.32025OpenAlexW2088265700MaRDI QIDQ2483781

Luís Gustavo Mendes, Jorge Vitório Pereira

Publication date: 1 August 2005

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=80&iss=2&rank=3

zbMATH Keywords

cotangent bundlequadratic fieldpolynomial vector fieldsholomorphic foliationsHilbert modular foliations

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Singularities of holomorphic vector fields and foliations (32S65) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (13)

Uniformization of the space of leaves of certain codimension one foliations ⋮ Algebraic curves and foliations ⋮ Hypersurfaces quasi-invariant by codimension one foliations ⋮ Foliations invariant by rational maps ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ An example of a modular foliation deducted from an algebraic solution of Painlevé VI equation ⋮ Convex foliations of degree 5 on the complex projective plane ⋮ Completely reducible hypersurfaces in a pencil ⋮ Representations of quasi-projective groups, flat connections and transversely projective foliations ⋮ An algebraic algorithm for the resolution of singularities of foliations ⋮ On the Structure of Codimension 1 Foliations with Pseudoeffective Conormal Bundle ⋮ Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps ⋮ The Noether-Fano inequalities for codimension one singular holomorphic foliations

This page was built for publication: Hilbert modular foliations on the projective plane