Differential equations on hypersurfaces in \(\mathbb P^4\).

DOI10.1016/j.matpur.2006.06.004zbMath1115.14009OpenAlexW2218014137MaRDI QIDQ864182

Erwan Rousseau

Publication date: 13 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.06.004

zbMATH Keywords

Kobayashi hyperbolicityalgebraic differential equationSchur representationsentire curvelogarithmic jetssmooth hypersurface

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Related Items (9)

Effective algebraic degeneracy ⋮ Logarithmic Vector Fields and Hyperbolicity ⋮ Fiber integration on the Demailly tower ⋮ Low pole order frames on vertical jets of the universal hypersurface ⋮ On the hyperbolicity of general hypersurfaces ⋮ Weak analytic hyperbolicity of generic hypersurfaces of high degree in \(\mathbb P^4\) ⋮ Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space ⋮ Application of computational invariant theory to Kobayashi hyperbolicity and to Green-Griffiths algebraic degeneracy ⋮ Existence of global invariant jet differentials on projective hypersurfaces of high degree

Cites Work

• Homogeneous vector bundles
• A very simple proof of Bott's theorem
• Syzygies des variétés déterminantales
• A vanishing theorem ``à la Kawamata-Viehweg
• Logarithmic jets and hyperbolicity
• Demailly-Semple jets in dimension 3
• \(T\)-symmetrical tensor forms on complete intersections
• An algebraic version of Demailly’s asymptotic Morse inequalities
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• Birational invariants of algebraic varieties.
• Hyperbolicity of generic surfaces of high degree in projective 3-space
• Logarithmic jet bundles and applications
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