Holomorphic Curves into ■N(C) That Share a Set of Moving Hypersurfaces

作者:YANG LIU
来源:Communications in Mathematical Research, 2019, 35(02): 97-105.
DOI:10.13447/j.1674-5647.2019.02.01

摘要

Let F be a family of holomorphic curves of a domain D in C into a closed subset X in ■N(C). Let Q1(z),…, Q2t+1(z) be moving hypersurfaces in ■N(C) located in pointwise t-subgeneral position with respect to X. If each pair of curves f and g in F share the set {Q1(z),…, Q2t+1(z)}, then F is normal on D. This result greatly extend some earlier theorems related to Montel’s criterion.