Uniqueness theorems for holomorphic curves

In this article, we prove a uniqueness theorem for algebraically non-degenerate holomorphic curves on annulus sharing hypersurfaces in general position for Veronese embedding.

7p vimessi2711 02-04-2019 19 0   Download

In this paper, by using the second main theorem for holomorphic curves from annuli ∆ to P n(C) intersecting a collection of fixed hyperplanes in general position with truncated counting functions, we will prove some theorems on unicity for linearly non-degenerate holomorphic curves on annulus ignoring multiplicity with hyperplanes in general position in projective space. This theorems have shown the sufficient conditions for two linearly non-degenerate holomorphic curves being equivalent.

7p doctorstrange1 21-06-2018 25 2   Download