A note on Seshadri constants on general K3 surfaces

2007/04/18 by Andreas Leopold Knutsen, Knutsen, Andreas Leopold · 1 citation
Computer Science · Mathematics · #14C20 #14J28 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #math.AG #msc:14C20 #msc:14J28

paper · pdf · doi:10.48550/arxiv.0704.2377

3 pages

arxiv created 2007/04/18 · openalex publication_date 2007/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a lower bound on the Seshadri constant ε(L) on a K3 surface S with \Pic S ≃ \ZZ[L]. In particular, we obtain that ε(L)=α if L²=α² for an integer α.

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