On the codimension of Noether–Lefschetz loci for toric threefolds

DOI10.1142/S0219199719500378zbMath1440.14031arXiv1807.11426OpenAlexW2964183692MaRDI QIDQ3299012

Valeriano Lanza, Ivan Martino

Publication date: 17 July 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11426

zbMATH Keywords

Castelnuovo-Mumford regularityNoether-Lefschetz locusGorenstein threefoldssimplicial toric varietiessingular threefoldsquasi-smooth surfaces

Mathematics Subject Classification ID

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

Related Items (1)

Codimension bounds for the Noether-Lefschetz components for toric varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Koszul cohomology and the geometry of projective varieties. II
• Components of maximal dimension in the Noether-Lefschetz locus
• A new proof of the explicit Noether-Lefschetz theorem
• Composantes de petite codimension du lieu de Noether-Lefschetz. (Small codimension components of the Noether-Lefschetz locus)
• The Noether–Lefschetz locus of surfaces in toric threefolds
• PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS

This page was built for publication: On the codimension of Noether–Lefschetz loci for toric threefolds