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نویسنده
چکیده
I A p.Adic Cohomological Melhod for the i Weierstrass Family and Its Zeta Invariants I I GOROKATO Dedicated 10 my parents. ABSTRACT. Arter a survey of the Weierstrass family and cohomology, we compute lhe lifted homology of lhe Weierstrass family wilh compact supports so that explicit formulae for the zeta function of each fibre of the Weierstrass family may be obtained. The (co-)homology theory that we use is found in eLI]'~] and [L3). Therefore, this article can be regarded as an application of Lubkln's p-adic theory of cohomologies to an algebraic family called the Weierstrass scheme over the ring (Z/pl)[g2,g3). The cohomologica1 background for the computation will be rather carefully exploited.
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