Noether-Lefschetz Locus for Surfaces

DOI10.2307/2001513zbMath0739.14019OpenAlexW4255141107MaRDI QIDQ3971058

Sung-Ock Kim

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001513

zbMATH Keywords

complete intersectionsPicard groupNoether-Lefschetz theoremNoether- Lefschetz locus

Mathematics Subject Classification ID

Complete intersections (14M10) Families, moduli, classification: algebraic theory (14J10) Picard groups (14C22)

Related Items (16)

Sums of three squares and Noether–Lefschetz loci ⋮ The Abel-Jacobi map for complete intersections ⋮ Ample divisors on the blow up of \(\mathbb{P}^3\) at points ⋮ Sur l'application d'Abel-Jacobi des variétés de Calabi-Yau de dimension trois ⋮ Virtual refinements of the Vafa-Witten formula ⋮ Small codimension components of the Hodge locus containing the Fermat variety ⋮ Pencils and nets of small degree on curves on smooth, projective surfaces of Picard rank 1 and very ample generator ⋮ The Griffiths group of a general Calabi-Yau threefold is not finitely generated ⋮ Perverse obstructions to flat regular compactifications ⋮ Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension ⋮ On the rationality of quadric surface bundles ⋮ Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality ⋮ Unnamed Item ⋮ Periods of complete intersection algebraic cycles ⋮ Stability of the tangent bundles of complete intersections and effective restriction ⋮ Algebraic cycles on certain Calabi-Yau threefolds

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• A new proof of the explicit Noether-Lefschetz theorem
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• On the periods of certain rational integrals. I, II
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Lectures on Curves on an Algebraic Surface. (AM-59)

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