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- W1645988745 abstract "Let $V$ be a projective subvariety of $mathbb P^n(mathbb C)$. A family of hypersurfaces ${Q_i}_{i=1}^q$ in $mathbb P^n(mathbb C)$ is said to be in $N$-subgeneral position with respect to $V$ if for any $1le i_1<cdots <i_{N+1}$, $ Vcap (bigcap_{j=1}^{N+1}Q_{i_j})=emptyset$. In this paper, we will prove a second main theorem for meromorphic mappings of $mathbb C^m$ into $V$ intersecting hypersurfaces in subgeneral position with truncated counting functions. As an application of the above theorem, we give a uniqueness theorem for meromorphic mappings of $mathbb C^m$ into $V$ sharing a few hypersurfaces without counting multiplicity. In particular, we extend the uniqueness theorem for linear nondegenerate meromorphic mappings of $mathbb C^m$ into $mathbb P^n(mathbb C)$ sharing $2n+3$ hyperplanes in general position to the case where the mappings may be linear degenerate." @default.
- W1645988745 created "2016-06-24" @default.
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- W1645988745 date "2014-12-03" @default.
- W1645988745 modified "2023-09-23" @default.
- W1645988745 title "Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties" @default.
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- W1645988745 doi "https://doi.org/10.1007/s4030" @default.
- W1645988745 hasPublicationYear "2014" @default.
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