1995/02/15 by Sandra Di Rocco, Di Rocco, Sandra
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.alg-geom/9502012
openalex publication_date 1995/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A k-very ample line bundle L on a Del Pezzo Surface is numerically characterized. We find that the set of the exceptional curves and effective divisors with selfintersection zero, \cal S, plays a very important rule in checking the nefness and k-very ampleness of a line bundle on a Del pezzo Surface. We show that a line bundle L is nef if and only if it is spanned and that L is k-very ample if and only if the intersection with all the elements of \cal S is greater or equal than k. In the first part of the paper we give a complete numerical description of the elements of \cal S .