Some Finiteness Results on Oda's Question for Pairs of Line Bundles

TL;DR

This paper proves that on a smooth toric threefold, all but finitely many ample line bundles are projectively normal, advancing understanding of line bundle properties in algebraic geometry.

Contribution

It establishes a finiteness result for the projective normality of ample line bundles on smooth toric threefolds, addressing Oda's question.

Findings

Almost all ample line bundles are projectively normal

Finitely many ample line bundles are exceptions

Advances understanding of line bundle properties in toric geometry

Abstract

In this work we prove on a given smooth toric threefold all but finitely many ample line bundles are projectively normal.