19 citations · 52 across the 25 of their papers we have counts for
25 papers
Periods modulo of integer sequences associated with division polynomials of genus curves
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita +2
We study an integer sequence associated with Cantor's division polynomials of a genus 2 curve having an integral point. We show that the reduction modulo of such a sequence is…
The Hodge standard conjecture for self-products of K3 surfaces
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa
As an application of our previous work on CM liftings of K3 surfaces and the Tate conjecture, we prove the Hodge standard conjecture for squares of K3 surfaces. We also deduce the…
The modularity of elliptic curves over all but finitely many totally real fields of degree 5
Yasuhiro Ishitsuka, Tetsushi Ito, Sho Yoshikawa
We study the finiteness of low degree points on certain modular curves and their Atkin--Lehner quotients, and, as an application, prove the modularity of elliptic curves over all b…
The arithmetic of a twist of the Fermat quartic
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita
We study the arithmetic of the twist of the Fermat quartic defined by which has no -rational point. We calculate the Mordell--Weil group of the Ja…
The local-global property for bitangents of plane quartics
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita +2
We study the arithmetic of bitangents of smooth quartics over global fields. With the aid of computer algebra systems and using Elsenhans--Jahnel's results on the inverse Galois pr…
Galois representations associated with a non-selfdual automorphic representation of GL(3)
Tetsushi Ito, Teruhisa Koshikawa, Yoichi Mieda
In 1994, van Geemen and Top constructed a non-selfdual motive of rank three over conjecturally associated with a cuspidal non-selfdual automorphic representation of $\…