Jump to ContentJump to Main Navigation
Frontiers in Complex DynamicsIn Celebration of John Milnor's 80th Birthday$
Users without a subscription are not able to see the full content.

Araceli Bonifant, Misha Lyubich, and Scott Sutherland

Print publication date: 2014

Print ISBN-13: 9780691159294

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691159294.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 19 September 2021

Dynamics of automorphisms of compact complex surfaces

Dynamics of automorphisms of compact complex surfaces

(p.463) Dynamics of automorphisms of compact complex surfaces
Frontiers in Complex Dynamics

Serge Cantat

, Araceli Bonifant, Mikhail Lyubich, Scott Sutherland
Princeton University Press

This chapter describes the dynamics of automorphisms of compact complex surfaces when it is rich. In particular, the chapter carries to this general setting the interplay between ideas from ergodic and pluripotential theories. The study is restricted to compact Kähler surfaces. This is justified by the fact that the topological entropy of all automorphisms vanishes on compact complex surfaces which are not Kähler. Moreover, no proof is detailed in this chapter, but a few arguments are sketched in order to enlighten the interplay between algebraic geometry, complex analysis, and dynamical systems. Furthermore, when a result holds for automorphisms of projective surfaces over any algebraically closed field k, the chapter mentions it.

Keywords:   automorphisms, compact complex surfaces, ergodic theories, pluripotential theories, compact Kähler surfaces, algebraic geometry, complex analysis, dynamical systems, projective surfaces

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.