Explicit Noether–Lefschetz for arbitrary threefolds

DOI10.1017/S0305004107000126zbMath1127.14034arXivmath/0507362WikidataQ60143212 ScholiaQ60143212MaRDI QIDQ5428380

Angelo Felice Lopez, Catriona Maclean

Publication date: 22 November 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507362

zbMATH Keywords

hypersurfaceCastelnuovo-Mumford regularityNoether-Lefschetz locus

Mathematics Subject Classification ID

(3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) Hypersurfaces and algebraic geometry (14J70)

Related Items (3)

Enumeration of surfaces containing a curve of low degree ⋮ The Noether–Lefschetz locus of surfaces in toric threefolds ⋮ Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds

Cites Work

• The ramification divisors for branched coverings of \(P_ k^ n\)
• On the adjunction mapping
• Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Ample divisors on the blow up of \(\mathbb{P}^3\) at points
• Une précision concernant le théorème de Noether. (A precision concerning the theorem of Noether)
• On the periods of certain rational integrals. I, II
• Ample divisors on the blow up of 𝐏ⁿ at points
• Composantes de petite codimension du lieu de Noether-Lefschetz: Un argument asymptotique en faveur de la conjecture de Hodge pour les hypersurfaces
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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