8 papers
Isogeny graphs associated to Moret-Bailly families of supersingular abelian surfaces
Toshiyuki Katsura, Takuya Yamauchi
For an odd prime and any prime , we study finite directed graphs arising from the set of all equivalence classes of Moret-Bailly families of abelian surfaces in cha…
Harder's conjecture II
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form of weight for , and let be a prime ideal of the Hecke field of . We denote by the Siegel modular group of degree .…
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…
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 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…
A new theta cycle for and an Edixhoven type theorem
Takuya Yamauchi
In this paper, we investigate a new theta cycle for by using author's theta operators defined in the previous work. In the course of the construction, we also mo…