Comparison of dynamical degrees for semi-conjugate meromorphic maps
Dynamical Systems
2009-03-17 v1 Complex Variables
Abstract
Let f be a dominant meromorphic self-map on a projective manifold X which preserves a meromorphic fibration pi: X --> Y of X over a projective manifold Y. We establish formulas relating the dynamical degrees of f, the dynamical degrees of f relative to the fibration and the dynamical degrees of the self-map g on Y induced by f. Applications are given.
Cite
@article{arxiv.0903.2621,
title = {Comparison of dynamical degrees for semi-conjugate meromorphic maps},
author = {Tien-Cuong Dinh and Viet-Anh Nguyen},
journal= {arXiv preprint arXiv:0903.2621},
year = {2009}
}
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23 pages