12 citations · 55 across the 36 of their papers we have counts for
4 papers · 1 filter
Period of the Ikeda type lift for
Hidenori Katsurada, Henry H. Kim, Takuya Yamauchi
In our previous work, he second and the third named authors constructed the Ikeda type lift for the exceptional group from an elliptic modular cusp form. In this paper, w…
Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields
Alexandru Ghitza, Takuya Yamauchi
Let be a genus two hyperelliptic curve over a totally real field . We show that the mod 2 Galois representation $\barρ_{C,2}\colon\mathrm{Gal}(\bar{F}/F)\to \mathrm{GSp}_4(\…
Automorphy of mod 2 Galois representations associated to the quintic Dwork family and reciprocity of some quintic trinomials
Nobuo Tsuzuki, Takuya Yamauchi
In this paper, we determine mod Galois representations associated to the mirror motives of rank…
Serre weights for over totally real fields
Takuya Yamauchi
We prove the existence of a potentially diagonalizable lift of a given automorphic mod Galois representation $\overlineρ:{\rm Gal}(\overline{F}/F)\longrightarrow {\rm GSp}_4(\o…