General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes

Abstract

By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a projective variety with arbitrary families of closed subschemes. As its consequence, we give a second main theorem for such meromorphic mappings intersecting arbitrary hypersurfaces with an explicitly truncation level for the counting functions.

This version is accepted for publication in Acta Mathematica Vietnamica

References in corpus (1)

• A generalized second main theorem for closed subschemes