On the uniqueness problem for meromorphic mappings with truncated multiplicities

Feng Lü

Feng Lü

Annales Polonici Mathematici, Tome 111 (2014), p. 165-179 / Harvested from The Polish Digital Mathematics Library

Résumé

The purpose of this paper is twofold. The first is to weaken or omit the condition $d i m f^{- 1} (H_{i} \cap H_{j}) \leq m - 2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_{j}$ such that f(z) = g(z) on $⋃_{j = 1}^{q} f^{- 1} (H_{j})$ , where f,g are meromorphic mappings.

Publié le : 2014-01-01

Zbl 1308.32019

EUDML-ID : urn:eudml:doc:280890

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     title = {On the uniqueness problem for meromorphic mappings with truncated multiplicities},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {165-179},
     zbl = {1308.32019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-2-4}
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Feng Lü. On the uniqueness problem for meromorphic mappings with truncated multiplicities. Annales Polonici Mathematici, Tome 111 (2014) pp. 165-179. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap112-2-4/