Nevanlinna theory for holomophic curves from annuli into semi-Abelian varieties

Author:

Quang Si Duc12

Affiliation:

1. Department of Mathematics , Hanoi National University of Education , 136-Xuan Thuy - Cau Giay , Hanoi , Vietnam

2. Thang Long Institute of Mathematics and Applied Sciences Nghiem Xuan Yem, Hoang Mai , Hanoi , Vietnam

Abstract

Abstract In this paper, we prove a lemma on logarithmic derivative for holomorphic curves from annuli into Kähler compact manifolds. As its application, a second main theorem for holomophic curves from annuli into semi-Abelian varieties intersecting with only one divisor is given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference12 articles.

1. Griffiths, P.—King, J.: Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145–220.

2. Khrystiyanyn, A. Y.—Kondratyuk, A. A.: On the Nevanlinna theory for meromorphic functions on annuli, I, Mat. Stud. 23(1) (2005), 19–30.

3. Khrystiyanyn, A. Y.—Kondratyuk, A. A.: On the Nevanlinna theory for meromorphic functions on annuli, II, Mat. Stud. 24(2) (2005), 57–68.

4. Lund, M.—Ye, Z.: Nevanlinna theory of meromorphic functions on annuli, Sci. China Math. 53 (2010), 547–554.

5. Noguchi, J.—Ochiai, T.: Introduction to Geometric Function Theory in Several Complex Variables. Trans. Math. Monogr. 80, Amer. Math. Soc., Providence, Rhode Island, 1990.

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