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Dwork, B.

\(p\)-adic cycles. (English) Zbl 0284.14008

Publ. Math., Inst. Hautes Étud. Sci. 37, 27-115 (1969).
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Cited in 12 Reviews
Cited in 91 Documents

MSC:

14D10 Arithmetic ground fields (finite, local, global) and families or fibrations
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
14F30 \(p\)-adic cohomology, crystalline cohomology
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14G20 Local ground fields in algebraic geometry
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References:

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[15] A. Grothendieck, Theorèmes de dualité pour les faisceaux algébriques cohérents,Sem. Bourbaki, no 149 (1957).
[16] B. Dwork, On the rationality of the zeta function,Amer. J. Math.,82 (1960), pp. 631–648. · Zbl 0173.48501 · doi:10.2307/2372974
[17] ——, A deformation theory for singular hypersurfaces,Proc. Int. Colloq. Alg. Geom., Tata Inst. Fund Res. Bombay, 1968.
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[19] J.-P. Serre,Abelian l-adic representations and elliptic curves, W. A. Benjamin, Inc., New York, 1968.
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