一条代数上但不被根有理一致化的新曲线
A New Curve Algebraically but not Rationally Uniformized by Radicals
摘要：
我们给出了一个新的例子，曲线C代数，但不是理性的，一致化的自由基。这意味着C没有映射到具有可解伽罗瓦群的投影线P^1上，而存在映射到C上的曲线C'，并且具有到具有可解伽罗瓦群的投影线P^1的有限态射。我们在亏格为2的一般曲线的第二对称积中构造亏格为9的曲线C。它也是一个不满足Abramovich和Harris的条件S（4，2，9）的亏格9曲线的例子。
英文摘要：
We give a new example of a curve C algebraically, but not rationally, uniformized by radicals. This means that C has no map onto the projective line P^1 with solvable Galois group, while there exists a curve C' that maps onto C and has a finite morphism to P^1 with solvable Galois group. We construct such a curve C of genus 9 in the second symmetric product of a general curve of genus 2. It is also an example of a genus 9 curve that does not satisfy condition S(4,2,9) of Abramovich and Harris.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
