Comparison of dynamical degrees for semi-conjugate meromorphic maps

  • Tien-Cuong Dinh

    Institut Mathématique de Jussieu, Paris, France
  • Viêt-Anh Nguyên

    Université Paris-Sud 11, Orsay, France

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