Bounding the degree of solutions to Pfaff equations
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Publication:1595459
DOI10.5565/PUBLMAT_44200_10zbMath0986.32015MaRDI QIDQ1595459
Luís Gustavo Mendes, Marco Brunella
Publication date: 26 July 2001
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/41409
Pfaffian systems (58A17) Geometric theory, characteristics, transformations in context of PDEs (35A30) Singularities of holomorphic vector fields and foliations (32S65) Complex spaces (32C15)
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Smooth foliations on homogeneous compact Kähler manifolds ⋮ Hypersurfaces invariant by Pfaff systems ⋮ Poincaré problem for weighted projective foliations ⋮ Singular foliations with trivial canonical class ⋮ The Poincaré problem for foliations on compact toric orbifolds ⋮ Bounds for sectional genera of varieties invariant under Pfaff fields ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ Existence and uniqueness theorems for the Pfaff equation with continuous coefficients ⋮ GSV-index for holomorphic Pfaff systems ⋮ Characteristic numbers and invariant subvarieties for projective webs ⋮ Homaloidal determinants ⋮ On some foliations arising in \(\mathcal D\)-module theory ⋮ On the Structure of Codimension 1 Foliations with Pseudoeffective Conormal Bundle ⋮ Holomorphic foliations admitting a transverse invariant measure ⋮ Local polar invariants for plane singular foliations ⋮ A note on Poincaré’s problem for quasi-homogeneous foliations ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients ⋮ Catching Tangent Curves in Fields of Lines
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