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Bibliographic Details
Main Author: Xu, Zheng
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.03938
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Table of Contents:
  • In this paper, we prove the abundance conjecture for threefolds over a perfect field $k$ of characteristic $p > 3$ in the case of numerical dimension equals to $2$. More precisely, we prove that if $(X,B)$ be a projective lc threefold pair over $k$ such that $K_{X}+B$ is nef and $ν(K_{X}+B)=2$, then $K_{X}+B$ is semiample.