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,即所有分歧型均为且的情况。
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