English

A Reider-type Result for Smooth Projective Toric Surfaces

Algebraic Geometry 2019-01-24 v1

Abstract

Let LL be an ample line bundle over a smooth projective toric surface XX. Then LL corresponds to a very ample lattice polytope PP that encodes many geometric properties of LL. In this article, by studying PP, we will give some necessary and sufficient numerical criteria for the adjoint series KX+L|K_X+L| to be either nef or (very) ample.

Keywords

Cite

@article{arxiv.1901.07685,
  title  = {A Reider-type Result for Smooth Projective Toric Surfaces},
  author = {Bach Le Tran},
  journal= {arXiv preprint arXiv:1901.07685},
  year   = {2019}
}
R2 v1 2026-06-23T07:19:17.539Z