Rational curves on general hypersurfaces of degree 7 in \(\mathbb {P}^5\)

zbMath1120.14033MaRDI QIDQ2372372

Dongsoo Shin

Publication date: 26 July 2007

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1174324321

zbMATH Keywords

rational curves on hypersurfacesnumber of rational curvesincidence scheme

Mathematics Subject Classification ID

Varieties of low degree (14N25) Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70)

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A remark on the intersection of plane curves

Cites Work

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• On a theorem of Castelnuovo, and the equations defining space curves
• Courbes de l'espace projectif: Séries linéaires incomplètes et multisécantes.
• Curves on generic hypersurfaces
• Rational curves on general projective hypersurfaces
• Rational curves of degree at most 9 on a general quintic threefold
• A correction: ``On a conjecture of Clemens on rational curves on hypersurfaces