Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain

Author:

Van Thin Nguyen1

Affiliation:

1. Department of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen street, Thai Nguyen city, Thai Nguyen, Viet Nam

Abstract

In this paper, we establish the results about spread relation to holomorphic curve intersecting hypersurfaces. Using the spread relation for holomorphic curve and Second Main Theorem, we prove some results for uniqueness problem of holomorphic curve by inverse image of hypersurfaces on angular domain. In my knowledge, it is the first time that uniqueness problem for holomorphic curves on angular domain into projective space intersecting with hypersurfaces is studied. Furthermore, we also study the growth of holomorphic curves with radially distributed hypersurfaces.

Publisher

IOS Press

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