Comparison of dynamical degrees for semi-conjugate meromorphic maps
Tien-Cuong Dinh
Institut Mathématique de Jussieu, Paris, FranceViêt-Anh Nguyên
Université Paris-Sud 11, Orsay, France
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Abstract
Let be a dominant meromorphic map on a projective manifold which preserves a meromorphic fibration of over a projective manifold . We establish formulas relating the dynamical degrees of , the dynamical degrees of relative to the fibration and the dynamical degrees of the map induced by . Applications are given.
Cite this article
Tien-Cuong Dinh, Viêt-Anh Nguyên, Comparison of dynamical degrees for semi-conjugate meromorphic maps. Comment. Math. Helv. 86 (2011), no. 4, pp. 817–840
DOI 10.4171/CMH/241