关于Miyaoka的一个问题
On a problem of Miyaoka
摘要：
我们给出了一个例子，一个向量丛E在一个相对曲线C --> Spec Z，使得限制到一般纤维的特征零是半稳定的，但限制到积极的特征p是不强半稳定的无穷多个素数。此外，在假设存在无穷多个苏菲·热尔曼素数的情况下，也有例子表明具有非强半稳定约化的素数的密度是任意高的。
英文摘要：
We give an example of a vector bundle E on a relative curve C --> Spec Z such that the restriction to the generic fiber in characteristic zero is semistable but such that the restriction to positive characteristic p is not strongly semistable for infinitely many prime numbers. Moreover, under the hypothesis that there exist infinitely many Sophie Germain primes, there are also examples such that the density of primes with non strongly semistable reduction is arbitrarily high.
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。
