Smooth projective toric varieties whose nontrivial nef line bundles are big
Osamu Fujino, Hiroshi Sato

TL;DR
This paper constructs specific smooth projective toric varieties in any dimension greater than or equal to three, where all nontrivial nef line bundles are big, highlighting a particular geometric property.
Contribution
It provides explicit examples of high-dimensional toric varieties with the property that all nontrivial nef line bundles are big, for Picard number at least five.
Findings
Explicit construction of such toric varieties for all n ≥ 3
Demonstration that all nontrivial nef line bundles are big in these examples
Examples with Picard number ≥ 5
Abstract
For any , we explicitly construct smooth projective toric -folds of Picard number , where any nontrivial nef line bundles are big.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models
