Zeta functions of Z_p-towers of curves

Abstract

In these notes, we explore possible stable properties for the zeta function of a geometric Zp-tower of curves over a finite field of characteristic p, in the spirit of Iwasawa theory. A number of fundamental questions and conjectures are proposed for those Zp towers coming from algebraic geometry.

A survey paper with updated references

References in corpus (1)

• The monodromy of $F$-isocrystals with log-decay

Cited by in corpus (1)

• $p$-adic Wan-Riemann Hypothesis for ${\mathbb{Z}}_p$-towers of curves