Subvarieties of generic hypersurfaces in a nonsingular projective toric variety

DOI10.1007/s00209-008-0446-yzbMath1243.14045OpenAlexW2029150067MaRDI QIDQ1038699

Atsushi Ikeda

Publication date: 20 November 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0446-y

zbMATH Keywords

toric varietiessubvarietiesgeneric hypersurfacesmultiplication of linear systems

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20) Hypersurfaces and algebraic geometry (14J70)

Related Items (6)

The Noether–Lefschetz locus of surfaces in toric threefolds ⋮ Integer decomposition property of polytopes ⋮ Algebraic hyperbolicity for surfaces in smooth projective toric threefolds with Picard rank 2 and 3 ⋮ On the Hodge conjecture for quasi-smooth intersections in toric varieties ⋮ A remark on the intersection of plane curves ⋮ Codimension bounds for the Noether-Lefschetz components for toric varieties

Cites Work

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• Vanishing theorems on toric varieties.
• Semiample hypersurfaces in toric varieties
• Curves on generic hypersurfaces
• A correction: ``On a conjecture of Clemens on rational curves on hypersurfaces

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