Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces

In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety V of P N ( C ) with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular fo...

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Veröffentlicht in:	The Journal of Geometric Analysis 2022-02, Vol.32 (2), Article 52
1. Verfasser:	Si, Duc Quang
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Hyperspaces Mathematics Mathematics and Statistics Theorems
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Zusammenfassung:	In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety V of P N ( C ) with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-021-00765-3