中文

关于射影直线分歧覆盖的Hurwitz存在问题

代数几何 2026-05-06 v2

摘要

我们给出了射影直线P1\mathbb{P}^1的分歧覆盖的Hurwitz存在问题的另一种证明,该证明适用于分歧点数量等于分支点数量的情况,即所有分歧型均为[e,1,,1][e,1,\ldots,1]e2e \geq 2的情况。

关键词

引用

@article{arxiv.2604.18782,
  title  = {On the Hurwitz existence problem for branched covers of the projective line},
  author = {Ciro Ciliberto and Andreas Leopold Knutsen and Sara Torelli},
  journal= {arXiv preprint arXiv:2604.18782},
  year   = {2026}
}

备注

We were informed that the main theorem had already been proved by Chenakkod, Faraco and Gupta, so we have added this reference and changed the abstract and introduction accordingly