Mathematics > Number Theory
[Submitted on 4 May 2018]
Title:Sequential periods of the crystalline Frobenius
View PDFAbstract:There is a notion of $p$-adic period coming from the crystalline Frobenius automorphism of the de Rham cohomology of an algebraic variety. In this paper, we consider sequences of $p$-adic periods, one for each prime. We study the sequences using motivic periods, and we formulate an analogue of the Grothendieck period conjecture.
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