Picard curves over with good reduction away from 3

DOI10.1112/S1461157016000413zbMath1391.14113arXiv1407.7892MaRDI QIDQ2970994

Christopher Rasmussen, Beth Malmskog

Publication date: 4 April 2017

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7892

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic aspects of dessins d'enfants, Bely? theory (11G32)

Related Items

Picard Curves with Small Conductor, Conductor and discriminant of Picard curves, Finitely generated sets of fuzzy values: if ``and is exact, then ``or is almost always approximate, and vice versa -- a theorem, Cyclic covers and Ihara's question

Cites Work

• Pro-\(\ell\) branched coverings of \(P^ 1\) and higher circular \(\ell\)- units
• On the torsion of Jacobians of principal modular curves of level \(3^n\)
• The integral monodromy of hyperelliptic and trielliptic curves
• On the number of solutions of linear equations in units of an algebraic number field
• Factoring polynomials with rational coefficients
• Arithmetic on superelliptic curves
• A database of number fields
• Products of Prime Powers in Binary Recurrence Sequences Part I: The Hyperbolic Case, with an Application to the Generalized Ramanujan-Nagell Equation
• S -Unit Equations, Binary Forms and Curves of Genus 2
• The arithmetic of certain cubic function fields
• Point counting on Picard curves in large characteristic
• Quartic Rings Associated to Binary Quartic Forms
• P-adic logarithmic forms and group varieties III
• Linear forms in the logarithms of algebraic numbers
• Finiteness Theorems for Binary Forms with Given Discriminant