Effectively computing integral points on the moduli of smooth quartic\n curves

2016/04/18 by Ariyan Javanpeykar, Javanpeykar, Ariyan · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1604.05043

openalex publication_date 2016/04/18 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We prove an effective version of the Shafarevich conjecture (as proven by\nFaltings) for smooth quartic curves. To do so, we establish an effective\nversion of Scholl's finiteness result for smooth del Pezzo surfaces of degree\nat most four.\n

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• Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations

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