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Zbl 0623.14005
Robba, Philippe
Une introduction na\" ive aux cohomologies de Dwork. (A na\" ive introduction to Dwork cohomology). (French)
[J] Mém. Soc. Math. Fr., Nouv. Sér. 23, 61-105 (1986). ISSN 0249-633X

In Dwork's original work on the Zeta-function of algebraic varieties one finds the beginning of a cohomology theory. This theory has been worked out by Monsky and Washnitzer. A unification with cristalline cohomology is given by Berthelot. In the present paper a didactical effort is made to present this ``Dwork cohomology'' in its naive form. The cohomology is associated to a differential equation. On the cohomology one considers Frobenius-structure, variation etc. Classical equations as Bessel equation, hypergeometric equations are given as examples. The relations with Zeta-functions and L-functions is given.
[M.van der Put]

MSC 2000:: *14F30 p-adic cohomology
14G20 p-adic ground fields

Keywords: cristalline cohomology; Dwork cohomology; Bessel equation; hypergeometric equations; Zeta-functions; L-functions

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