A Reider-type Result for Smooth Projective Toric Surfaces

2019/01/23 by Tran, Bach Le
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.07685

Abstract

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

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