PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS

DOI10.1142/S0129167X12500280zbMath1252.14031arXiv1011.1003OpenAlexW2114285716MaRDI QIDQ3225348

Antonella Grassi, Ugo Bruzzo

Publication date: 19 March 2012

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

Full work available at URL: https://arxiv.org/abs/1011.1003

zbMATH Keywords

Picard numberhypersurfacessimplicial toric varietiesMax-Noether theorem

Mathematics Subject Classification ID

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

Related Items

The Noether–Lefschetz locus of surfaces in toric threefolds, Origin of abelian gauge symmetries in heterotic/F-theory duality, Picard Ranks of K3 Surfaces of BHK Type, Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds, Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution, Lattice duality for families of \(K\)3 surfaces associated to transpose duality, The Noether–Lefschetz theorem in arbitrary characteristic, Deformation of pairs and Noether-Lefschetz loci in toric varieties, A note on simple \(K3\) singularities and families of weighted \(K3\) surfaces, \(\mathbb Q\)-factorial Laurent rings, Tops as building blocks for \(G_2\) manifolds, On the codimension of Noether–Lefschetz loci for toric threefolds, Discrete symmetries in Heterotic/F-theory duality and mirror symmetry, Equivalences of families of stacky toric Calabi-Yau hypersurfaces, Codimension bounds for the Noether-Lefschetz components for toric varieties, Algebraic hyperbolicity for surfaces in toric threefolds

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