P-adic Geometry: Lectures from the 2007 Arizona Winter School - University Lecture Series New Ed. edition

Offers a discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. This book discusses theoretical and computational aspects of $p$-adic cohomology and the zeta functions of varieties. It is suitable for students interested in learning about the techniques of $p$-adic geometry.