Defect relations for degenerate meromorphic maps
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- by Wan Xi Chen PDF
- Trans. Amer. Math. Soc. 319 (1990), 499-515 Request permission
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.References
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H. Cartan, Sur les zéros des combinaisons linéaires de $p$ fonctions holomorphes donnés, Mathematica (Cluj) 7 (1933), 80-103.
W. Chen, Cartan’s conjecture: defect relations for meromorphic maps from parabolic manifold to projective space, Ph.D. dissertation, Notre Dame University, 1987.
—, On subgeneral position, Notre Dame Math. Preprints, #100, 1987.
- E. I. Nochka, Defect relations for meromorphic curves, Izv. Akad. Nauk Moldav. SSR Ser. Fiz.-Tekhn. Mat. Nauk 1 (1982), 41–47, 79 (Russian). MR 672395
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 319 (1990), 499-515
- MSC: Primary 32H30; Secondary 30D35, 32H25
- DOI: https://doi.org/10.1090/S0002-9947-1990-1010882-9
- MathSciNet review: 1010882