On the Frobenius Endomorphisms of Fermat and Artin-Schreier Curves

DOI10.2307/2047204zbMath0666.14014OpenAlexW4238799947MaRDI QIDQ3818428

Robert F. Coleman

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047204

zbMATH Keywords

Fermat curvesArtin- Schreier curvesBrumer-Stark conjecture for function fields

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) Zeta functions and (L)-functions of number fields (11R42)

Related Items (6)

Periods of \(t\)-motives and transcendence ⋮ Annihilators for cusp forms of weight 2 and level \(4p^m\) ⋮ Interpolation of hypergeometric ratios in a global field of positive characteristic ⋮ Deligne's reciprocity for function fields ⋮ Interpolation of numbers of Catalan type in a local field of positive characteristic ⋮ The theta divisor and the Stickelberger theorem

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.

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