On the Hodge conjecture for quasi-smooth intersections in toric varieties

DOI10.1007/s40863-021-00247-yzbMath1491.14014arXiv2102.01050OpenAlexW3181526246WikidataQ113891393 ScholiaQ113891393MaRDI QIDQ2054963

William Montoya, Ugo Bruzzo

Publication date: 3 December 2021

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01050

zbMATH Keywords

toric varietyHodge conjectureNoether-Lefschetz locusquasi-smooth complete intersections

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Picard groups (14C22) Hypersurfaces and algebraic geometry (14J70)

Related Items (1)

Deformation of pairs and Noether-Lefschetz loci in toric varieties

Cites Work

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• Cohomology of twisted projective spaces and lens complexes
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• Cohomology of complete intersections in toric varieties
• Toric residues
• On the Hodge conjecture for hypersurfaces in toric varieties
• Deformations of complex orbifolds and the period maps
• The Noether–Lefschetz locus of surfaces in toric threefolds
• Residues in Toric Varieties
• 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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