5 citations · 9 across the 4 of their papers we have counts for
5 papers
On Iwasawa invariants of modular forms with reducible and non--distinguished residual Galois representations
Sheng-Chi Shih, Jun Wang
In the present paper, we study the -adic -functions and the (strict) Selmer groups over , the cyclotomic -extension of , of the…
On Sharifi's conjecture: exceptional case
Sheng-Chi Shih, Jun Wang
In the present article, we study the conjecture of Sharifi on the surjectivity of the map . Here is a primitive even Dirichlet character of conductor , which is e…
Shimura varieties at level and Galois representations
Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4
We show that the compactly supported cohomology of certain or -Shimura varieties with -level vanishes above the middle degree. The…
On congruence modules related to Hilbert Eisenstein series
Sheng-Chi Shih
We generalize the work of Ohta on the congruence modules attached to elliptic Eisenstein series to the setting of Hilbert modular forms. Our work involves three parts. In the first…
Embeddings of fields in simple algebras over global fields
Sheng-Chi Shih, Tse-Chung Yang, Chia-Fu Yu
Let be a global field, a central simple algebra over and a finite (separable or not) field extension of with degree dividing the degree of over .…