arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1504.08296math.NTmath.AG
收藏

齐性空间的弱逼近:有限稳定子情形的约化

Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer

Giancarlo Lucchini Arteche

摘要:

我们减少的问题是否Brauer-Manin障碍弱逼近的齐性空间是唯一的障碍“更简单”的问题的特殊情况下的齐性空间的$\mathrm{SL}_n$有限稳定。我们也给出了基于有限稳定器的几个已知结果的无条件结果。

英文摘要:

We reduce the question about whether the Brauer-Manin obstruction to weak approximation for homogeneous spaces is the only obstruction to the "simpler" question of the particular case of homogeneous spaces of $\mathrm{SL}_n$ with finite stabilizer. We also give unconditional results based on the few known results on finite stabilizers.

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。

↑