JournalscmhVol. 86, No. 4pp. 817–840

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
Comparison of  dynamical degrees for semi-conjugate   meromorphic  maps cover
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Abstract

Let f ⁣:XXf\colon X\rightarrow X be a dominant meromorphic map on a projective manifold XX which preserves a meromorphic fibration π ⁣:XY\pi\colon X\rightarrow Y of XX over a projective manifold YY. We establish formulas relating the dynamical degrees of ff, the dynamical degrees of ff relative to the fibration and the dynamical degrees of the map g ⁣:YYg\colon Y\rightarrow Y induced by ff. 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