Rational curves on general projective hypersurfaces

DOI10.1090/S1056-3911-02-00328-4zbMath1054.14057arXivmath/0010037OpenAlexW2082078978MaRDI QIDQ4707535

Gianluca Pacienza

Publication date: 2003

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010037

zbMATH Keywords

vertical tangent bundleuniversal hypersurface

Mathematics Subject Classification ID

Plane and space curves (14H50) Hypersurfaces and algebraic geometry (14J70)

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Cites Work

• On a conjecture of Clemens on rational curves on hypersurfaces
• Homogeneous vector bundles
• Koszul cohomology and the geometry of projective varieties. II
• Subvarieties of generic complete intersections
• Subvarieties of generic complete intersections. II
• On the variety of linear spaces contained in a complete intersection
• Variations of Hodge structure and zero cycles on general surfaces
• Rational equivalence of O-cycles on surfaces
• Subvarieties of generic hypersurfaces in any variety
• Curves on generic hypersurfaces
• Lectures on Curves on an Algebraic Surface. (AM-59)
• A correction: ``On a conjecture of Clemens on rational curves on hypersurfaces

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