Algebraic dependences of meromorphic mappings in several complex variables

Pham, Duc Thoan; Pham, Viet Duc

doi:10.1007/s11253-010-0414-7

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“…Our above result extends and improves the previous results of Ru [7], Thai and Quang [12], and Thoan, Duc and Quang [13,14] for the case of the mappings from C m into P n (C). We would also like to emphasize that, under the assumption of Theorem 2, Yan [15] obtained the same conclusion with q > n(2n + 1)λ/(λ − l + 1).…”

Section: Introductionsupporting

confidence: 90%

Second Main Theorems and Algebraic Dependence of Meromorphic Mappings on Parabolic Manifolds With Moving Targets

QUANG,

AN,

THOAN

2023

Kyushu J. Math.

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The purpose of this paper is twofold. The first is to give some forms of the second main theorem in Nevanlinna theory for meromorphic mappings from parabolic manifolds intersecting moving targets in general position with truncated counting functions, which are improvements of some recent results. The second is to apply the above forms to the proof of an algebraic dependence theorem for meromorphic mappings on parabolic manifolds sharing moving targets regardless of multiplicity.

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