Second main theorem for holomorphic curves on annuli with arbitrary families of hypersurfaces

Abstract

The aim of this paper is to establish the second main theorem for holomorphic curves from the annulus into a complex projective variety intersecting an arbitrary family of hypersurfaces. This is done by using the notion of "Distributive Constant" for a family of hypersurfaces with respect to a complex projective variety developed by Quang. We also give an explicit estimate for the level of truncation.

Keywords

• nevanlinna theory
• second main theorem
• holomorphic curves
• hypersurfaces