Equidistribution of varieties for endomorphisms of projective spaces

Details Equidistribution of varieties for endomorphisms of projective spaces Equidistribution of varieties for endomorphisms of projective spaces

2011-09-11

arxiv.org/abs/1109.2349v1

Mathematics

Dynamical Systems

11 pages, to appear in Vietnam J. Math., the volume in honor of Professor Ha Huy Khoai

Scientific paper

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.

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