Defect relations for degenerate meromorphic maps

Author:

Chen Wan Xi

Abstract

Using a concept called subgeneral position and adapting a weight function created by E. I. Nochka, this work proves the Cartan’s conjecture on defect relations for a degenerate meromorphic map from a parabolic manifold into a projective space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. H. Cartan, Sur les zéros des combinaisons linéaires de 𝑝 fonctions holomorphes donnés, Mathematica (Cluj) 7 (1933), 80-103.

2. W. Chen, Cartan’s conjecture: defect relations for meromorphic maps from parabolic manifold to projective space, Ph.D. dissertation, Notre Dame University, 1987.

3. \bysame, On subgeneral position, Notre Dame Math. Preprints, #100, 1987.

4. Defect relations for meromorphic curves;Nochka, E. I.;Izv. Akad. Nauk Moldav. SSR Ser. Fiz.-Tekhn. Mat. Nauk,1982

5. On a theorem from linear algebra;Nochka, E. I.;Izv. Akad. Nauk Moldav. SSR Ser. Fiz.-Tekhn. Mat. Nauk,1982

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