6 citations · 24 across the 19 of their papers we have counts for
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The Hasse principle for finite Galois modules allowing exceptional sets of positive density
Yasuhiro Ishitsuka, Tetsushi Ito
We study a variant of the Hasse principle for finite Galois modules, allowing exceptional sets of positive density. For a Galois module whose underlying abelian group is isomorphic…
On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita
We give two algorithms to compute linear determinantal representations of smooth plane curves of any degree over any field. As particular examples, we explicitly give representativ…
Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita
We use explicit methods to study the 4-torsion points on the Jacobian variety of the Fermat quartic. With the aid of computer algebra systems, we explicitly give a basis of the gro…