Year: 2019
Author: Liu Yang
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 97–105
Abstract
Let ${\cal F}$ be a family of holomorphic curves of a domain $D$ in ${\bf C}$ into a closed subset $X$ in ${\mathbb P}^N(\bf C)$. Let $Q_1(z),\,\cdots,\,Q_{2t+1}(z)$ be moving hypersurfaces in ${\mathbb P}^N(\bf C)$ located in pointwise $t$-subgeneral position with respect to $X$. If each pair of curves $f$ and $g$ in ${\cal F}$ share the set $\{Q_1(z),\,\cdots,\,Q_{2t+1}(z)\}$, then ${\cal F}$ is normal on $D$. This result greatly extend some earlier theorems related to Montel's criterion.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.02.01
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 97–105
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Holomorphic mapping normal family value distribution theory complex projective space hypersuface