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Zbl 0606.14016
Sierra-Morales, Hernando Enrique
Les polynômes d'Hecke. Théorie p-adique. (Hecke polynomials. p-adic theory) (D'après B. Dwork et A. Adolphson).
(French)
[J] Groupe Étude Anal. Ultramétrique, 12e année 1984/85, No.1, Exposé No.1, 16 p. (1985).

This is an improved exposition of Dwork's and Adolphson's theory of Hecke polynomials. The main technical simplification consists of the use of differential systems rather than differential operators. This avoids the necessity of "excellent Frobenius" and altogether the problem of "supersingular disks".
[F.Baldassarri]
MSC 2000:
*14F30 p-adic cohomology
14G20 p-adic ground fields

Keywords: Hecke polynomials; differential systems

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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