Hyperelliptic curves and homomorphisms to ideal class groups of quadratic number fields

DOI10.1016/J.JNT.2011.05.002zbMath1268.11087OpenAlexW2092542085MaRDI QIDQ640864

Tormod Kalberg Sivertsen, Ragnar Soleng

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.002

zbMATH Keywords

hyperelliptic curvesquadratic fieldsideal class groups

Mathematics Subject Classification ID

Quadratic extensions (11R11) [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)] Class numbers, class groups, discriminants (11R29)

Related Items (1)

From Picard groups of hyperelliptic curves to class groups of quadratic fields

Cites Work

• Homomorphisms from the group of rational points on elliptic curves to class groups of quadratic number fields
• Über einen Homomorphismus der rationalen Punkte elliptischer Kurven
• Elliptic Curves and Class Groups of Quadratic Fields

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