Sequential periods of the crystalline Frobenius

2018/05/04 by Julian Rosen, Rosen, Julian
Mathematics · #11G99 #11M32 #14F30 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G99 #msc:11M32 #msc:14F30

paper · pdf · doi:10.48550/arxiv.1805.01885

24 pages, comments are very welcome

arxiv created 2018/05/04 · arxiv updated 2018/05/07

Abstract

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.

Related

• Some remarks concerning the Grothendieck Period Conjecture
• On the crystalline period map
• p-adic periods and derived de Rham cohomology
• On periods: from global to local
• An introduction to p-adic period rings