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This article is cited in 20 scientific papers (total in 20 papers)
Deficient divisors in the Valiron sense
A. S. Sadullaev
Abstract:
In this article the author proves that for any holomorphic mapping
$f\colon\mathbf C^n\to\mathbf P^m$ the set
$$
E_V(f)=\biggl\{A\colon\varliminf_{r\to\infty}\frac{N_f(r,A)}{T_f(r)}<1\biggr\}
$$
of hyperplanes deficient in the Valiron sense forms a polar set. This gives a positive answer to a question posed by Griffiths and King.
Bibliography: 16 titles.
Received: 16.10.1978
Citation:
A. S. Sadullaev, “Deficient divisors in the Valiron sense”, Mat. Sb. (N.S.), 108(150):4 (1979), 567–580; Math. USSR-Sb., 36:4 (1980), 535–547
Linking options:
https://www.mathnet.ru/eng/sm2341https://doi.org/10.1070/SM1980v036n04ABEH001861 https://www.mathnet.ru/eng/sm/v150/i4/p567
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Abstract page: | 313 | Russian version PDF: | 100 | English version PDF: | 10 | References: | 66 |
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