Truncated second main theorem for non-Archimedean meromorphic maps

Author:

Si Duc Quang

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

J. Math. Math. Sci. Vol. 2 No. 8 (2023)

date:

2023-06-12 16:00:00

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.