Seshadri constants at very general points

2004/03/18 by Michael Nakamaye, Nakamaye, Michael
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Meromorphic and Entire Functions #math.AG

paper · pdf · doi:10.48550/arxiv.math/0403313

arxiv created 2004/03/18 · openalex publication_date 2004/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies the Seshadri constant of an ample line bundle at a very general point, seeking a very slight improvement on the result of Ein, Kuchle, and Lazarsfeld. The main point is that couting jets more carefully yields a better result. We hope that with some further innovations some type of bound, independent of the dimension, will ultimately be found.

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