Ramified torsion points on curves

DOI10.1215/S0012-7094-87-05425-1zbMath0626.14022OpenAlexW2052200754WikidataQ56813946 ScholiaQ56813946MaRDI QIDQ580458

Robert F. Coleman

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05425-1

zbMATH Keywords

Manin-Mumford conjecturep-adic integrationtorsion-packets on algebraic curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Obituary: Robert F. Coleman 1954--2014, Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang), Torsion of abelian varieties over GL(2)-extensions of number fields, Geometry of \(p\)-jets, Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base, A note on the ramification of torsion points lying on curves of genus at least two, Galois theory and torsion points on curves., Computing Torsion Points on Curves, Plane curves and p-adic roots of unity, Ramification of torsion points on curves with ordinary semistable Jacobian varieties, Examples of torsion points on genus two curves

Cites Work

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• Courbes sur une variété abélienne et points de torsion
• Hodge-Tate periods and p-adic abelian integrals
• Torsion points on curves and p-adic abelian integrals
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• On supersingular curves and Abelian varieties.