Composantes de petite codimension du lieu de Noether-Lefschetz: Un argument asymptotique en faveur de la conjecture de Hodge pour les hypersurfaces

DOI10.1090/S1056-3911-02-00349-1zbMath1080.14506arXivmath/0401092OpenAlexW1972857829WikidataQ122902679 ScholiaQ122902679MaRDI QIDQ4707541

A. Otwinowska

Publication date: 2003

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

Full work available at URL: https://arxiv.org/abs/math/0401092

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Hypersurfaces and algebraic geometry (14J70)

Related Items (14)

The Noether–Lefschetz locus of surfaces in toric threefolds ⋮ Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds ⋮ On a conjecture by Griffiths and Harris concerning certain Noether–Lefschetz loci ⋮ Small codimension components of the Hodge locus containing the Fermat variety ⋮ Toric differential forms and periods of complete intersections ⋮ Deformation of pairs and Noether-Lefschetz loci in toric varieties ⋮ On fake linear cycles inside Fermat varieties ⋮ Variational Hodge conjecture for complete intersections on hypersurfaces in projective space ⋮ Monodromy of a family of hypersurfaces containing a given subvariety ⋮ Explicit Noether–Lefschetz for arbitrary threefolds ⋮ On the Hodge conjecture for quasi-smooth intersections in toric varieties ⋮ Maximal families of nodal varieties with defect ⋮ Homogeneous ideals associated to a smooth subvariety ⋮ Periods of complete intersection algebraic cycles

Cites Work

• General components of the Noether-Lefschetz locus and their density in the space of all surfaces
• Components of maximal dimension in the Noether-Lefschetz locus
• Une précision concernant le théorème de Noether. (A precision concerning the theorem of Noether)
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• Noether-Lefschetz theory and the Picard group of projective surfaces
• On the Locus of Hodge Classes
• What can be computed in algebraic geometry?
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