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Published online by Cambridge University Press: 06 August 2022
It has been suggested several times in this book that the study of p-adic differential equations is deeply connected to a theory of p-adic cohomology for varieties over finite fields. In particular, the Frobenius structures arising on Picard–Fuchs modules, as discussed in the previous chapter, appear within this theory. In this appendix, we introduce a tiny bit of the theory of rigid p-adic cohomology, as developed by Berthelot and others. In particular, we illustrate the role played by the p-adic local monodromy theorem in a fundamental finiteness problem in the theory.
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