The Second Main Theorem with moving hypersurfaces in subgeneral position

Qili Cai; Chin-Jui Yang

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arXiv · 2501.00833

The Second Main Theorem with moving hypersurfaces in subgeneral position

Qili Cai·Chin-Jui Yang

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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.

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Qili Cai, Chin-Jui Yang. 2025-01-01. The Second Main Theorem with moving hypersurfaces in subgeneral position. https://arxiv.org/abs/2501.00833

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