A note on k-jet ampleness on surfaces

1998/02/20 by Adrian Langer, Adrián Langer, Langer, Adrian
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Meromorphic and Entire Functions #advanced mathematical theories #math.AG

paper · pdf · doi:10.48550/arxiv.math/9802098

11 pages in AMS-TeX

arxiv created 1998/02/20 · openalex publication_date 1998/02/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Reider type criterions for k-jet spannedness and k-jet ampleness of adjoint bundles for surfaces with at most rational singularities. Moreover, we prove that on smooth surfaces [n(n+4)/4]-very ampleness implies n-jet ampleness.

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