Decay of volumes under iteration of meromorphic mappings
[Décroissance des volumes sous l'itération d'applications méromorphes]
Guedj, Vincent1
1 Université Paul Sabatier, Laboratoire Emile Picard, UMR 5580, 118 route de Narbonne, 31062 TOULOUSE Cedex 04 (France)
Annales de l'Institut Fourier, Tome 54 (2004) no. 7, pp. 2369-2386.

Soit f un endomorphisme méromorphe d’une variété kählérienne compacte. Nous étudions le taux de décroissance des volumes sous l’itération de f. Nous utilisons les estimées obtenues pour construire le courant de Green de l’application f dans un cadre très général.

Let f be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of f. We use these volume estimates to construct the Green current of f in a quite general setting.

DOI : 10.5802/aif.2083
Classification : 32H50, 58F23, 58F15
Keywords: meromorphic mapping, volume estimates, Green current
Mot clés : application méromorphe, estimées de volume, courant de Green
Guedj, Vincent 1

1 Université Paul Sabatier, Laboratoire Emile Picard, UMR 5580, 118 route de Narbonne, 31062 TOULOUSE Cedex 04 (France) 
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Guedj, Vincent. Decay of volumes under iteration of meromorphic mappings. Annales de l'Institut Fourier, Tome 54 (2004) no. 7, pp. 2369-2386. doi : 10.5802/aif.2083. https://www.numdam.org/articles/10.5802/aif.2083/

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