Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds

DOI10.1093/imrn/rnz358zbMath1483.14013OpenAlexW3004579588WikidataQ126629994 ScholiaQ126629994MaRDI QIDQ5066824

Angelo Felice Lopez, Antonella Grassi, Ugo Bruzzo

Publication date: 30 March 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnz358

Mathematics Subject Classification ID

(3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30) Picard groups (14C22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Small codimension components of the Hodge locus containing the Fermat variety, The Noether–Lefschetz theorem in arbitrary characteristic, Moishezon's theorem and degeneration

Cites Work

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• Fundamental theorems for the log minimal model program
• On Fano manifolds of large index
• Vanishing theorems on complex manifolds
• 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
• A new proof of the explicit Noether-Lefschetz theorem
• On the connectedness of degeneracy loci and special divisors
• On the existence of components of the Noether-Lefschetz locus with given codimension
• Liaison des variétés algébriques. I
• Notes on embeddings of blowups
• Une précision concernant le théorème de Noether. (A precision concerning the theorem of Noether)
• Semiample hypersurfaces in toric varieties
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• The Noether-Lefschetz theorem for the divisor class group
• A global Torelli theorem for singular symplectic varieties
• Sums of three squares and Noether–Lefschetz loci
• The Noether–Lefschetz locus of surfaces in toric threefolds
• PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS
• Noether-Lefschetz theory and the Picard group of projective surfaces
• Joins and Intersections
• Composantes de petite codimension du lieu de Noether-Lefschetz: Un argument asymptotique en faveur de la conjecture de Hodge pour les hypersurfaces
• Algebraic boundaries of Hilbert’s SOS cones
• Introduction
• Explicit Noether–Lefschetz for arbitrary threefolds
• Gromov-Witten theory and Noether-Lefschetz theory
• Pathologies III
• The Noether-Lefschetz Locus of Regular Elliptic Surfaces with Section and p g ≥2
• The Hyperplane Sections of Normal Varieties
• Picard numbers of surfaces in 3-dimensional weighted projective spaces