On a conjecture of Griffiths-Harris generalizing the Noether-Lefschetz theorem

DOI10.1215/S0012-7094-90-06018-1zbMath0724.14030OpenAlexW1580441364MaRDI QIDQ2644720

Xian Wu

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06018-1

zbMATH Keywords

complete intersectionNoether-Lefschetz theoremcurve contained in a general three-fold

Mathematics Subject Classification ID

(3)-folds (14J30) Complete intersections (14M10)

Related Items (4)

Curves on threefolds and a conjecture of Griffiths-Harris ⋮ A SPLITTING CRITERION FOR RANK 2 BUNDLES ON A GENERAL SEXTIC THREEFOLD ⋮ On the degree of algebraic cycles on hypersurfaces ⋮ Arithmetically Cohen-Macaulay bundles on complete intersection varieties of sufficiently high multidegree

Cites Work

• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• On the Noether-Lefschetz theorem and some remarks on codimension-two cycles
• On a theorem of Castelnuovo, and the equations defining space curves
• A sharp Castelnuovo bound for smooth surfaces
• On an infinitesimal invariant of normal functions
• Lectures on Curves on an Algebraic Surface. (AM-59)
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