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

Si Duc Quang

doi:10.1007/s40306-024-00553-5

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arXiv · 2212.01889

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

Si Duc Quang

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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.

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Si Duc Quang. 2022-12-04. General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes. https://doi.org/10.1007/s40306-024-00553-5

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