Demonstrates a uniqueness theorem for holomorphic curves on annuli, suggesting new insights into algebraic structures.
In 2000, Y. Aihara proved a uniqueness theorem for linearly non-degenerate meromorphic m appings from Cm into Pn (C), which was given again in 2010 by Cao and Yi. In this paper, we will consider the same problem for holomorphic curves on an annulus to complex projective space in the case of hypersurfaces in subgeneral position, namely we give a uniqueness theorem related multiple values for algebraically non-degenerate holomorphic curves on an annulus sharing sufficiently many hypersurfaces.
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Ha et al. (2025) studied this question.
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