Uniqueness problem without multiplicities in value distribution theory.
Uniqueness problem without multiplicities in value distribution theory.
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DOI：
10.2140/pjm.1988.135.323
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发表时间：
1988-12
影响因子：
0.6
通讯作者：
S. Ji
中科院分区：
文献类型：
--
作者：
S. Ji
设Hi，jt是Pm中一般位置的超平面，m > 2.让A\，.，Ak是C”的n - 1维纯解析子集，其中A t n Aj > 2.则任意线性非退化亚纯映射/ g，h：C”-> Pm，其中f\Aj = g\Aj = h\Aj，且其中j = 1，.如果k = 2>m + 1，则k满足性质（P）。因此，这样的l，g，h是代数相关的。如果n > rank / = rank g = rank h = m，则k = m + 3就足够了。
Let Hi , //jt be hyperplanes in general position in P m with m > 2. Let A\,... ,Ak be pure (n — 1 )-dimensional analytic subsets of C" with codim A t n Aj > 2 whenever / ^ j. Then any linearly nondegenerate meromorphic maps / g,h: C" —> P m with f\Aj = g\Aj = h\Aj and w i t h / ' ( / / ,) = g~\H } ) = h~\Hj) = A } for j = 1,..., k satisfy Property (P) if k = 2>m + 1. Consequently such /, g, h are algebraically dependent. If even n > rank / = rank g = rank h = m, then k = m + 3 suffices.