Hyperbolicity of nodal hypersurfaces

DOI10.1515/CRELLE.2006.053zbMath1108.14013OpenAlexW2042640540MaRDI QIDQ3413779

Bruno De Oliveira, Fedor A. Bogomolov

Publication date: 18 December 2006

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.2006.053

zbMATH Keywords

symmetric differentialsnodal hypersurfacealgebraic foliationhyperbolic variety

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Surfaces of general type (14J29) Global theory of complex singularities; cohomological properties (32S20) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Related Items (7)

Hyperbolicity of generic deformations ⋮ Explicit computation of symmetric differentials and its application to quasihyperbolicity ⋮ Asymptotic purity for very general hypersurfaces of \(\mathbb P^{n } \times \mathbb P^{n }\) of bidegree \((k, k)\) ⋮ Canonical surfaces with big cotangent bundle ⋮ Twisted symmetric differentials and the quadric algebra of subvarieties of \(\mathbb{P}^N\) of low codimension ⋮ Resolutions of surfaces with big cotangent bundle and $A_2$ singularities ⋮ Degeneracy of holomorphic maps via orbifolds

Cites Work

• Subvarieties of generic complete intersections
• The maximal number of quotient singularities on surfaces with given numerical invariants
• Hypersurfaces solutions d'une équation de Pfaff analytique
• Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities
• Complex projective surfaces and infinite groups
• Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane
• Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities
• Hyperbolicity of generic surfaces of high degree in projective 3-space
• On analytic surfaces with double points
• Chern classes of reflexive sheaves on normal surfaces

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