Comparison of dynamical degrees for semi-conjugate meromorphic maps

By T. Dinh, Viet Anh Nguyen. 2009

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

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0b6ec2d7871ed90ee6208441872a617d7eea7c49