Cartan's conjecture for moving hypersurfaces
Cartan's conjecture for moving hypersurfaces
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嘉当运动超曲面猜想
DOI：
10.1007/s00209-018-2138-6
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发表时间：
2019
影响因子：
0.8
通讯作者：
Yu Guangsheng
中科院分区：
文献类型：
--
作者：
Yan Qiming;Yu Guangsheng
Letfbe a holomorphic curve inand letbe a family of moving hypersurfaces defined by a set of homogeneous polynomials. For, denote by, whereandare entire functions onwithout common zeros. Letbe the smallest subfield of meromorphic function fieldwhich containsand allwith,. In previous known second main theorems forfand,fis usually assumed to be algebraically nondegenerate over. In this paper, we prove a second main theorem in whichfis only assumed to be nonconstant. This result can be regarded as a generalization of Cartan’s conjecture for moving hypersurfaces.
