On the dynamical degrees of meromorphic maps preserving a fibration
  Let f be a dominant meromorphic self-map on a compact Kaehler manifold X which preserves a fibration given by a meromorphic map from X to a compact Kaehler manifold Y. We compute the dynamical degrees of f in term of its dynamical degrees relative to the fibration and the dynamical degrees of the map g on Y which is induced by f. We derive from this result new properties of some fibrations intrinsically associated to X when this manifold admits an interesting dynamical system. 
Tien-Cuong Dinh, Viet-Anh Nguyen and Tuyen Trung Truong
math.DS math.AG math.CV