12 citations · 55 across the 36 of their papers we have counts for
4 papers · 1 filter
Regulators on some abelian coverings of minus points
Yusuke Nemoto, Takuya Yamauchi
In this paper, we construct certain rational or integral elements in the motivic cohomology of superelliptic curves which are quotient curves of abelian coverings of …
The -function of the surface parametrizing cuboids
Madoka Horie, Takuya Yamauchi
In this note, we compute the -function of the projective smooth surface over that parametrizes cuboids whose geometric properties are studied in detail by Stoll…
The non-existence of some Galois representations of moderate dimension in small characteristic
Alexandru Ghitza, Takuya Yamauchi
Refining arguments of Hyunsuk Moon, under the assumption of the Generalized Riemann Hypothesis, we prove the non-existence of irreducible mod 2 Galois representations unramified ou…
The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations
Takuya Yamauchi
We study the residual monodromy representations associated to the Dwork family in characteristic two. Various applications involving 2-adic and mod 2 Galois representations are dis…