Subvarieties of general type on a general projective hypersurface

DOI10.1090/S0002-9947-03-03250-1zbMath1056.14060arXivmath/0204297OpenAlexW1536818452MaRDI QIDQ4813780

Gianluca Pacienza

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204297

zbMATH Keywords

desingularizationcanonical class

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70) Cycles and subschemes (14C99)

Related Items (15)

Quasiprojective manifolds with negative holomorphic sectional curvature ⋮ On the pluricanonical maps of varieties of intermediate Kodaira dimension ⋮ SCROLLS AND HYPERBOLICITY ⋮ Restrictions on rational surfaces lying in very general hypersurfaces ⋮ Clustered families and applications to Lang‐type conjectures ⋮ Algebraic hyperbolicity of the very general quintic surface in \(\mathbb{P}^3\) ⋮ Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture ⋮ Algebraic hyperbolicity of very general surfaces ⋮ Gonality of curves on general hypersurfaces ⋮ On the hyperbolicity of general hypersurfaces ⋮ A note on gonality of curves on general hypersurfaces ⋮ On the logarithmic Kobayashi conjecture ⋮ Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ A remark on the intersection of plane curves

Cites Work

• On a conjecture of Clemens on rational curves on hypersurfaces
• Subvarieties of generic complete intersections
• Subvarieties of generic complete intersections. II
• Subvarieties of general hypersurfaces in projective space
• Subvarieties of generic hypersurfaces in any variety
• Hyperbolic and Diophantine analysis
• Curves on generic hypersurfaces
• Focal loci of families and the genus of curves on surfaces
• Rational curves on general projective hypersurfaces
• Divisors on Generic Complete Intersections in Projective Space

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