On Extremal Elliptic K3 Surfaces

1999/01/20 by Q. Ye, Qingze YE, Ye, Q.
Computer Science · Mathematics · #14J27 #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics #math.AG #msc:14J27 #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/9901081

15pages, 2figures

arxiv created 1999/01/20 · openalex publication_date 1999/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first classify the possible configurations of fibrations which are not semi-stable on extremal elliptic K3 surfaces. Then we give a complete list of extremal elliptic K3 surfaces whose singular fibers are all not of type I_n.

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