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On the dynamical degrees of meromorphic maps preserving a fibration

Authors
  • Dinh, Tien-Cuong
  • Nguyen, Viet-Anh
  • Truong, Tuyen Trung
Type
Preprint
Publication Date
Aug 24, 2011
Submission Date
Aug 24, 2011
Identifiers
arXiv ID: 1108.4792
Source
arXiv
License
Yellow
External links

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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