Decay of volumes under iteration of meromorphic mappings

Vincent Guedj[1]

  • [1] Université Paul Sabatier, Laboratoire Emile Picard, UMR 5580, 118 route de Narbonne, 31062 TOULOUSE Cedex 04 (France)

Annales de l'Institut Fourier (2004)

  • Volume: 54, Issue: 7, page 2369-2386
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Guedj, Vincent. "Decay of volumes under iteration of meromorphic mappings." Annales de l'Institut Fourier 54.7 (2004): 2369-2386. <http://eudml.org/doc/116176>.

@article{Guedj2004,
abstract = {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.},
affiliation = {Université Paul Sabatier, Laboratoire Emile Picard, UMR 5580, 118 route de Narbonne, 31062 TOULOUSE Cedex 04 (France)},
author = {Guedj, Vincent},
journal = {Annales de l'Institut Fourier},
keywords = {meromorphic mapping; volume estimates; Green current; meromorphic mappings; volumes estimates; Green's currents},
language = {eng},
number = {7},
pages = {2369-2386},
publisher = {Association des Annales de l'Institut Fourier},
title = {Decay of volumes under iteration of meromorphic mappings},
url = {http://eudml.org/doc/116176},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Guedj, Vincent
TI - Decay of volumes under iteration of meromorphic mappings
JO - Annales de l'Institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 7
SP - 2369
EP - 2386
AB - 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.
LA - eng
KW - meromorphic mapping; volume estimates; Green current; meromorphic mappings; volumes estimates; Green's currents
UR - http://eudml.org/doc/116176
ER -

References

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