On the codimension of Noether-Lefshetz loci for toric threefolds

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.

arXiv comment4 pages

References in corpus (1)

• Picard group of hypersurfaces in toric 3-folds

Cited by in corpus (1)

• An asymptotic description of the Noether-Lefschetz components in toric varieties