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arXiv · 2103.09611

Algebraic degeneracy of holomorphic curves

Xianjing Dong·Peichu Hu
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Abstract

We consider the algebraic degeneracy of holomorphic curves from a point of view of meromorphic vector fields. Employing the notion of Jocabian sections introduced by W. Stoll, we establish a Second Main Theorem type inequality. As consequences, several algebraic degeneracy theorems are obtained for holomorphic curves into a complex projective variety.

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Xianjing Dong, Peichu Hu. 2021-03-17. Algebraic degeneracy of holomorphic curves. https://arxiv.org/abs/2103.09611

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