Curves \(X^ mY^ n+Y^ mZ^ n+Z^ mX^ n=0\) and decomposition of the Jacobian

DOI10.1006/jabr.1996.6842zbMath0877.11039OpenAlexW2008429301MaRDI QIDQ1355520

H. Bennama, Philippe Carbonne

Publication date: 20 October 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6842

zbMATH Keywords

Jacobian varietycurves of higher genusJFM 11.0296.01JFM 39.0259.03Klein's quartic

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items

A note on certain maximal curves, The supersingularity of Hurwitz curves

Cites Work

• Period lattice of curves \(y^ q=\prod_{j=0}^ n(z-a_ j)^{\alpha_ j}\) (\(q\) prime)
• Arithmetic on curves
• On the Jacobian of the Klein Curve