Title: On Nevanlinna - Cartan theory for holomorphic curves with Tsuji characteristics,
Abstract: In this paper, we prove some fundamental theorems for holomorphic curves on
angular domain intersecting a hypersurface, finite set of fixed hyperplanes in
general position and finite set of fixed hypersurfaces in general position on
complex projective variety with the level of truncation. As applications of the
second main theorems for an angle, we will discuss the uniqueness problem of
holomorphic curves in an angle instead of the whole complex plane. Detail, we
establish a result for uniqueness problem of holomorphic curve by inverse image
of a hypersurface. In my knowledge, this is the first result for uniqueness
problem of holomorphic curve by inverse image of hypersurface on angular
domain. On complex plane, we obtain a uniqueness result for holomorphic curves,
it is improvement of some results before [5, 10] in this trend.