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Research Article | Open Access

The second main theorem with moving hypersurfaces in subgeneral position

School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China
Department of Mathematics, University of Houston, Houston, TX 77204, USA
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Abstract

In this paper, we prove a second main theorem for a holomorphic curve f into P N ( C ) with a family of slowly moving hypersurfaces D 1 , . . . , D q with respect to f in m-subgeneral position, proving an inequality with factor 3 2 . The motivation comes from the recent result of Heier and Levin.

CLC number: 32A22, 32H30

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AIMS Mathematics
Pages 8818-8826

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Cite this article:
Cai Q, Yang C-J. The second main theorem with moving hypersurfaces in subgeneral position. AIMS Mathematics, 2025, 10(4): 8818-8826. https://doi.org/10.3934/math.2025404

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Received: 23 November 2024
Revised: 02 April 2025
Accepted: 02 April 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)