arXiv Analytics

Sign in

arXiv:1109.2349 [math.DS]AbstractReferencesReviewsResources

Equidistribution of varieties for endomorphisms of projective spaces

Tien-Cuong Dinh, Nessim Sibony

Published 2011-09-11Version 1

Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k and f^n its iterate of order n. Let V be an algebraic subvariety of P^k which is generic in the Zariski sense. We give here a survey on the asymptotic equidistribution of the sequence $f^{-n}(V)$ when n goes to infinity.

Comments: 11 pages, to appear in Vietnam J. Math., the volume in honor of Professor Ha Huy Khoai
Categories: math.DS, math.CV
Related articles: Most relevant | Search more
arXiv:1611.08490 [math.DS] (Published 2016-11-25)
Degeneration of endomorphisms of the complex projective space in the hybrid space
arXiv:math/0609686 [math.DS] (Published 2006-09-25, updated 2008-01-09)
Equidistribution towards the Green current for holomorphic maps
arXiv:1411.0760 [math.DS] (Published 2014-11-04)
Invertible dynamics on blow-ups of P^k

Links

Toolbox