Dynamics of fibered endomorphisms of P-k

Affiliation auteursAffiliation ok
TitreDynamics of fibered endomorphisms of P-k
Type de publicationJournal Article
Year of Publication2021
AuteursDupont C, Taflin J
JournalANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Volume22
Pagination53-78
Type of ArticleArticle
ISSN0391-173X
Résumé

We study the structure and the Lyapunov exponents of the equilibrium measure of endomorphisms of P-k preserving a fibration. We extend the decomposition of the equilibrium measure obtained by Jonsson for polynomial skew products of C-2. We also show that the sum of the sectional exponents satisfies a Bedford-Jonsson formula when the fibration is linear, and that this function is plurisubharmonic on families of fibered endomorphisms. In particular, the sectional part of the bifurcation current is a closed positive current on the parameter space.