On the method of Coleman and Chabauty

DOI10.1007/BF01459799zbMath0824.14017OpenAlexW2028959974MaRDI QIDQ1337522

William G. McCallum

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165223

zbMATH Keywords

rational points on curvesFermat's Last TheoremFermat curverank of the Mordell-Weil groupcardinality of rational points on a curveeffective Chabauty

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Higher degree equations; Fermat's equation (11D41)

Related Items (7)

Chabauty Without the Mordell-Weil Group ⋮ Resolution of surface singularities and stable reduction of Fermat curves ⋮ Application of covering techniques to families of curves. ⋮ Torsion and Tamagawa numbers ⋮ Most odd degree hyperelliptic curves have only one rational point ⋮ Brauer points on Fermat curves ⋮ The Hasse principle and the Brauer-Manin obstruction for curves

Cites Work

• Torsion points on curves and p-adic abelian integrals
• Effective Chabauty
• On the Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve
• The arithmetic of Fermat curves
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Spécialisation du foncteur de Picard
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• The first case of Fermat's last theorem
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