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Vietnam Journal of Mathematics 39:3 (2011) 369-379

 

Equidistribution of Varieties for Endomorphisms

of Projective Spaces

Tien-Cuong Dinh1 and Nessim Sibony2

1UPMC Univ Paris 06, UMR 7586, Institut de Math´ematiques de Jussieu,

F-75005 Paris, France

2Université Paris-Sud, Mathématique-Bâtiment 425, 91405 Orsay, France

 

Abstract. Let f be a non-invertible holomorphic endomorphism of the complex projective space Pk and fn its iterate of order n. Let V be an algebraic subvariety of Pk 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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