Book of Donmon Teith

We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contain

The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, th

The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, al

Field patching, introduced by Harbater and Hartmann, and extended by the aforementioned authors and Krashen, has recently seen numerous applications. We present