The second main theorem with moving hypersurfaces in subgeneral position

In this paper, we prove a second main theorem for a holomorphic curve $ f $ into $ \mathbb P^N (\mathbb 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 \over 2 $. The motivation comes from the recent result of Heier and Levin.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025404
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

The second main theorem with moving hypersurfaces in subgeneral position

Chin-Jui Yang, Qili Cai
AIMS Mathematics
Mathematics and Applications
article

The second main theorem with moving hypersurfaces in subgeneral position

Chin-Jui Yang, Qili Cai
article en

Abstract

In this paper, we prove a second main theorem for a holomorphic curve $ f $ into $ \mathbb P^N (\mathbb 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 \over 2 $. The motivation comes from the recent result of Heier and Levin.

AIMS MathematicsVol. 10(4)
Guangdong Polytechnic Normal University (CN), University of Houston (US)
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Mathematics and Applications
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The second main theorem with moving hypersurfaces in subgeneral position — Chin-Jui Yang, Qili Cai · AIMS Mathematics (2025) | TGRS Research Map | TGRS