On the codimension of Noether-Lefshetz loci for toric threefolds
Valeriano Lanza, Ivan Martino
TL;DR
This paper improves the lower bounds on the codimension of Noether-Lefschetz loci for surfaces in projective toric threefolds and simplifies existing proofs to remove technical assumptions.
Contribution
It refines the lower bounds on codimension and provides a more straightforward proof of key theorems in the study of Noether-Lefschetz loci for toric threefolds.
Findings
Sharpened lower bounds on codimension of Noether-Lefschetz loci
Simplified proof of existing theorems removing technical assumptions
Enhanced understanding of the structure of Noether-Lefschetz loci in 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology