On elliptic curves over function fields of characteristic two

DOI10.1006/jnth.2000.2582zbMath0989.11030OpenAlexW2038733143MaRDI QIDQ5931954

Andreas Schweizer

Publication date: 25 September 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2582

zbMATH Keywords

elliptic curveselliptic surfacesquaternion algebrasTate's algorithm

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (3)

Strong Weil curves over \(\mathbb F_q(T)\) with small conductor ⋮ On Jacquet-Langlands isogeny over function fields ⋮ On Drinfeld modular curves with many rational points over finite fields

Cites Work

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• On finite Drinfeld modules
• Automorphe Formen über \({\mathbb{F}}_ q(T)\) mit kleinem Führer. (Automorphic forms over \({\mathbb{F}}_ q(T)\) with small conductor)
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• Involutory elliptic curves over \(\mathbb{F}_q(T)\)
• Highly ramified pencils of elliptic curves in characteristic 2
• On unirationality of extremal elliptic surfaces
• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Jacobians of Drinfeld modular curves.

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