A uniqueness theorem related multiple values for holomorphic curves on annuli sharing hypersurfaces in subgeneral position

Abstract

In 2000, Y. Aihara proved a uniqueness theorem for linearly non-degenerate meromorphic mappings from $\C^m$ into $\PP^n(\C)$, 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.