中文

全+正则variety的有理链连通性

代数几何 2026-02-20 v1

摘要

我们证明了在三维且残余域特征为p>5的混合特征中,globally +regularvarieties是有理链连通的。我们还引入了强globally+-regular varieties是有理链连通的。我们还引入了强globally +-regular的概念,表明在Spec(Z)\mathrm{Spec}(\mathbb{Z})的稠密开放子集上具有任意维度的varieties如果是强globally +$-regular,则是有理链连通的。

关键词

引用

@article{arxiv.2602.16945,
  title  = {On rational chain connectedness of globally +-regular varieties},
  author = {Emre Alp Özavcı and Zsolt Patakfalvi and Kevin Tucker and Joe Waldron and Zheng Xu},
  journal= {arXiv preprint arXiv:2602.16945},
  year   = {2026}
}

备注

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