Potential Theory and Dynamics on the Berkovich Projective Line
www.ams.org
This book is a revised and expanded version of the authors’ manuscript “Analysis and Dynamics on the Berkovich Projective Line” ([91], July 2004). Its purpose is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line.
Potential theory and dynamics on the Berkovich projective line
www.gbv.de
The Berkovich projective line 2.1. The Berkovich affine line \(\mathbb{A}_{Berk}^{1}\) 2.2. The Berkovich “Proj” construction 2.3. The action of a rational map \(\varphi\) on \(\mathbb{F}_{Berk}^{1}\) 2.4. Points of \(\mathbb{F}_{Berk}^{1}\) revisited 2.5. The tree structure on \(\mathbb{H}_{Berk}\) and \(\mathbb{F}_{Berk}^{1}\) 2.6.
Potential Theory and Dynamics on the Berkovich Projective Line
docslib.org
Its purpose is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line. The theory developed here has applications in arithmetic geometry, arithmetic intersection theory, and arithmetic dynamics.
Potential theory and dynamics on the Berkovich projective line
libraryopac.math.iisc.ac.in
Potential theory and dynamics on the Berkovich projective line Baker, Matthew, Material type: Text Publication details: Providence, R.I. : American Mathematical Society, 2010 Description: 1 online resource (xxxiii, 428 p.)