On a conjecture by Griffiths and Harris concerning certain Noether–Lefschetz loci

DOI10.1142/S0219199715500029zbMath1327.14023arXiv1404.5717WikidataQ123221192 ScholiaQ123221192MaRDI QIDQ2950141

Ananyo Dan

Publication date: 8 October 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5717

zbMATH Keywords

Hilbert schemesNéron-Severi groupvariation of Hodge structuresNoether-Lefschetz locuscoplanar lines in \(\mathbb{P}^3\)

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• General components of the Noether-Lefschetz locus and their density in the space of all surfaces
• Une précision concernant le théorème de Noether. (A precision concerning the theorem of Noether)
• Semi-regularity and de Rham cohomology
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• On the CastelnuovoMumford regularity of products of ideal sheaves
• Deformations of Algebraic Schemes
• Composantes de petite codimension du lieu de Noether-Lefschetz: Un argument asymptotique en faveur de la conjecture de Hodge pour les hypersurfaces
• On the Castelnuovo-Mumford regularity of connected curves

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