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2019•P-Adic Numbers Ultrametric Analysis and ApplicationsRequires access

On the Nevanlinna-Cartan Second Main Theorem for non-Archimedean Holomorphic Curves

Ha Tran Phuong, Le Quang Ninh, Padaphet Inthavichit

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Abstract

Recenty, J. M. Anderson and A. Hinkkanen ([2]) introduced the integrated reduced counting functions for holomorphic curves and proved an improved version of second main theorem for holomorphic curves with integrated reduced counting functions in the complex case. In this paper, we will prove a version of second main theorem for non-Archimedean holomorphic curves intersecting hyperplanes in general position with integrated reduced counting functions.

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What this paper is about

Recenty, J. M. Anderson and A. Hinkkanen ([2]) introduced the integrated reduced counting functions for holomorphic curves and proved an improved version of second main theorem for holomorphic curves with integrated reduced counting functions in the complex case. In this paper, we will prove a version of second main theorem for non-Archimedean holomorphic curves intersecting hyperplanes in general position with integrated reduced counting functions.

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Available abstract

Recenty, J. M. Anderson and A. Hinkkanen ([2]) introduced the integrated reduced counting functions for holomorphic curves and proved an improved version of second main theorem for holomorphic curves with integrated reduced counting functions in the complex case. In this paper, we will prove a version of second main theorem for non-Archimedean holomorphic curves intersecting hyperplanes in general position with integrated reduced counting functions.

Key concepts: Holomorphic function, Identity theorem, Mathematics, Hyperplane, Analyticity of holomorphic functions, Pure mathematics, Position (finance), General position

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