Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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General Form of Second Main Theorem on Generalized $p$-Parabolic Manifolds for Arbitrary Closed Subschemes

Duc Quang Si

pp. 51-66

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 non-degenerate 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.