The Eisenstein ideal of a Fermat curve

DOI10.1016/0021-8693(92)90166-JzbMath0779.14005OpenAlexW2081678262MaRDI QIDQ1204449

Shih-Ping Chan, Chong-Hai Lim

Publication date: 10 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90166-j

zbMATH Keywords

Eisenstein ideal for a Fermat curveendomorphism of the jacobianFermat curve of degree 5

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05) Global ground fields in algebraic geometry (14G25)

Cites Work

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• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Points at infinity on the Fermat curves
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Modular curves and the Eisenstein ideal

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