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| Degeneracy and Finiteness Theorems for Meromorphic Mappings in Several Complex Variables |
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Citation： |
Si Duc QUANG.Degeneracy and Finiteness Theorems for Meromorphic Mappings in Several Complex Variables[J].Chinese Annals of Mathematics B,2019,40(2):251~272 |
| Page view： 2063
Net amount： 1534 |
Authors： |
Si Duc QUANG; |
Foundation： |
This work was supported by the Vietnam National
Foundation for Science and Technology Development
(No.101.04-2018.01). |
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| Abstract： |
The author proves that there are at most two meromorphic mappings of
$\C^m$ into $\P^n(\C)\ (n\geq 2)$ sharing $2n+2$ hyperplanes in
general position regardless of multiplicity, where all zeros with
multiplicities more than certain values do not need to be counted.
He also shows that if three meromorphic mappings $f^1,f^2,f^3$ of
$\C^m$ into $\P^n(\C)\ (n\geq 5)$ share $2n+1$ hyperplanes in
general position with truncated multiplicity, then the map
$f^1\times f^2\times f^3$ is linearly degenerate. |
Keywords： |
Second main theorem, Uniqueness problem, Meromorphic mapping, Multiplicity |
Classification： |
32H30, 32A22, 30D35 |
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