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arXiv · 1108.4792

On the dynamical degrees of meromorphic maps preserving a fibration

Tien-Cuong Dinh·Viet-Anh Nguyen·Tuyen Trung Truong
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Abstract

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.

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Tien-Cuong Dinh, Viet-Anh Nguyen, Tuyen Trung Truong. 2011-08-24. On the dynamical degrees of meromorphic maps preserving a fibration. https://arxiv.org/abs/1108.4792

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