Let f be a non-invertible holomorphic endomorphism of P^k. For a hypersurface
H of P^k, generic in the Zariski sense, we give an explicit speed of
convergence of f^{-n}(H) towards the dynamical Green (1,1)-current of f

Taflin, Johan

Comptes Rendus Mathematique

English

arXiv

University of Groningen Research Database

Equidistribution speed towards the Green current for endomorphisms of P-k

International audienceLet f be a non-invertible holomorphic endomorphism of P k. For a hypersurface H of P k , generic in the Zariski sense, we give an explicit speed of convergence of f −n (H) towards the dynamical Green (1, 1)-current of f

Archive Ouverte en Sciences de l'Information et de la Communication

Equidistribution speed towards the Green current for endomorphisms of Pk

Johan Taflin

Crossref

Advances in Mathematics

Equidistribution speed towards the Green current for endomorphisms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">P</mml:mi><mml:mi>k</mml:mi></mml:msup></mml:math>

International audienceSoient f un endomorphisme holomorphe non-inversible de P k et f n son itérée d'ordre n. Pour une hypersurface H de P k , générique au sens de Zariski, nous donnons une vitesse de convergence explicite des préimages f −n (H) vers le (1, 1)-courant de Green de f. Abstract Equidistribution speed towards the Green current for endomorphisms of P k. Let f be a non-invertible holomorphic endomorphism of P k. For a hypersurface H of P k , generic in the Zariski sense, we give an explicit speed of convergence of f −n (H) towards the dynamical Green (1, 1)-current of f

HAL: Hyper Article en Ligne

Vitesse d'équidistribution vers le courant de Green pour les endomorphismes de P k

Let f be a non-invertible holomorphic endomorphism of P-k. For a hypersurface H of P-k, generic in the Zariski sense, we give an explicit speed of convergence of f(-n)(H) towards the dynamical Green (1, 1)-current of f. (C) 2011 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves

NARCIS 

Vitesse dʼéquidistribution vers le courant de Green pour les endomorphismes deP-k

https://hal.science/hal-02375547v1/file/vitesse.pdf

Equidistribution speed towards the Green current for endomorphisms of P^k

Abstract

Similar works

Full text

Available Versions

University of Groningen Research Database

Archive Ouverte en Sciences de l'Information et de la Communication

Crossref

HAL: Hyper Article en Ligne

HAL: Hyper Article en Ligne

NARCIS