On the codimension of Noether-Lefshetz loci for toric threefolds

2018/07/30 by Valeriano Lanza, Lanza, Valeriano, Ivan Martino +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1807.11426

openalex publication_date 2018/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this manuscript we sharpen the lower bound on the codimension of the irreducible components of the Noether-Lefschetz locus of surfaces in projective toric threefolds given in [BG17]. We also provide a simpler proof of Theorem 4.11 in [BG17], which allows one to avoid some technical assumptions.

Related

• Explicit Noether-Lefschetz for arbitrary threefolds
• Density of Noether-Lefschetz loci for surfaces in Fano and Calabi-Yau threefolds
• Non-reduced components of the Noether-Lefschetz locus
• An asymptotic description of the Noether-Lefschetz components in toric varieties
• Non-density of the exceptional components of the Noether-Lefschetz locus