1 citations · 1 across the 2 of their papers we have counts for
7 papers
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…
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…
An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields
Yasuhiro Ishitsuka
We give a brief report on our computations of linear determinantal representations of smooth plane cubics over finite fields. After recalling a classical interpretation of linear d…
Linear determinantal representations of smooth plane cubics over finite fields
Yasuhiro Ishitsuka
In this note, we study linear determinantal representations of smooth plane cubics over finite fields. We give an explicit formula of linear determinantal representations correspon…