Comparison of dynamical degrees for semi-conjugate meromorphic maps

Abstract

Let f : X → X be a dominant meromorphic map on a projective manifold X which preserves a meromorphic fibration π : 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 map g : Y → Y induced by f. Applications are given. 

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