Comparison of dynamical degrees for semi-conjugate meromorphic maps

Details Comparison of dynamical degrees for semi-conjugate meromorphic maps Comparison of dynamical degrees for semi-conjugate meromorphic maps

2009-03-15

arxiv.org/abs/0903.2621v1

Mathematics

Dynamical Systems

23 pages

Scientific paper

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.

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