Comparison of dynamical degrees for semi-conjugate meromorphic maps

Comparison of dynamical degrees for semi-conjugate meromorphic maps
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DOI:
10.4171/cmh/241
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发表时间:
2009-03
期刊:
arXiv: Dynamical Systems
影响因子:
--
通讯作者:
T. Dinh;V. Nguyen
T. Dinh;V. Nguyen
中科院分区:
其他
文献类型:
--
作者:
T. Dinh;V. Nguyen

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设f是射影流形X上的支配亚纯自映射,它保持射影流形Y上X的亚纯纤维化pi:X -> Y.我们建立了f的动力学度、f相对于纤维化的动力学度以及由f诱导的Y上自映射g的动力学度之间的关系式。应用程序已给出。
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.