Deformation of pairs and Noether-Lefschetz loci in toric varieties

DOI10.1007/s40879-023-00702-4arXiv2203.00664MaRDI QIDQ6148553

William Montoya, Ugo Bruzzo

Publication date: 11 January 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00664

zbMATH Keywords

toric varietiesNoether-Lefschetz locusHodge locus

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Picard groups (14C22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Hypersurfaces and algebraic geometry (14J70) (n)-folds ((n>4)) (14J40)

Cites Work

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• On the Hodge structure of projective hypersurfaces in toric varieties
• Toric residues
• On the Hodge conjecture for quasi-smooth intersections in toric varieties
• Codimension bounds for the Noether-Lefschetz components for toric varieties
• PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS
• Noether-Lefschetz Locus and a Special Case of the Variational Hodge Conjecture: Using Elementary Techniques
• Composantes de petite codimension du lieu de Noether-Lefschetz: Un argument asymptotique en faveur de la conjecture de Hodge pour les hypersurfaces

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