Truncated second main theorem for non-Archimedean meromorphic maps

Si Duc Quang

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arXiv · 2306.07594

Truncated second main theorem for non-Archimedean meromorphic maps

Si Duc Quang

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Abstract

Let $\mathbb F$ be an algebraically closed field of characteristic $p\ge 0$, which is complete with respect to a non-Archimedean absolute value. Let $V$ be a projective subvariety of $\mathbb P^M(\mathbb F)$. In this paper, we will prove some second main theorems for non-Archimedean meromorphic maps of $\mathbb F^m$ into $V$ intersecting a family of hypersurfaces in $N-$subgeneral position with truncated counting functions.

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Si Duc Quang. 2023-06-13. Truncated second main theorem for non-Archimedean meromorphic maps. https://arxiv.org/abs/2306.07594

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