Minimal number of points with bad reduction for elliptic curves over P¹

2010/07/25 by Johannes Sprang, Sprang, Johannes
Computer Science · Mathematics · #14H52 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.4353

openalex publication_date 2010/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we use elementary methods to discuss the question of the minimal number of points with bad reduction over the projective line for elliptic curves E/k(T) which are non-constant resp. have non-constant j-invariant.

Citations

• Il n'y a pas de vari�t� ab�lienne sur Z

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