Picard Curves with Small Conductor

DOI10.1007/978-3-319-70566-8_4zbMath1402.14037arXiv1701.01986OpenAlexW2576138358MaRDI QIDQ4556567

Michel Börner, Irene I. Bouw, Stefan Wewers

Publication date: 16 November 2018

Published in: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01986

zbMATH Keywords

conductorsemistable reductionPicard curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (2)

Reduction Types of Genus-3 Curves in a Special Stratum of their Moduli Space ⋮ Conductor and discriminant of Picard curves

Uses Software

• SageMath

Cites Work

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• On the Kodaira dimension of the moduli space of curves
• An effective proof of the hyperelliptic Shafarevich conjecture
• Wildly ramified covers with large genus
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Picard curves over with good reduction away from 3
• COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
• Spécialisation des revêtements en caractéristique p> 0
• S -Unit Equations, Binary Forms and Curves of Genus 2
• Construction of CM Picard curves

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