当前位置: X-MOL 学术J. Number Theory › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Constructing Galois representations ramified at one prime
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-01-13 , DOI: 10.1016/j.jnt.2020.12.005
Anwesh Ray

Let n>1, e0 and a prime number p2n+2+2e+3, such that the index of regularity of p is ≤e. We show that there are infinitely many irreducible Galois representations ρ:Gal(Q¯/Q)GLn(Qp) unramified at all primes lp. Furthermore, these representations are shown to have image containing a fixed finite index subgroup of SLn(Zp). Such representations are constructed by lifting suitable residual representations ρ¯ with image in the diagonal torus in GLn(Fp), for which the global deformation problem is unobstructed.



中文翻译:

构造伽罗瓦表示法一枝独秀

ñ>1个Ë0 和素数 p2ñ+2+2Ë+3,使得规律性的指数p是≤ Ë。我们证明了有无限多个不可约的伽罗瓦表示ρ加尔¯/GLñp 在所有素数均未分叉 p。此外,这些表示形式显示为包含固定的有限索引子组的图像。SLñžp。通过提升适当的残差表示来构造此类表示ρ¯ 与图像在对角线环面中 GLñFp,其全局变形问题不受阻碍。

更新日期:2021-01-13
down
wechat
bug