6 citations · 24 across the 19 of their papers we have counts for
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math.NT2014★ 4 cited
On the symmetric determinantal representations of the Fermat curves of prime degree
Yasuhiro Ishitsuka, Tetsushi Ito
We prove that the defining equations of the Fermat curves of prime degree cannot be written as the determinant of symmetric matrices with entries in linear forms in three variables…
math.NT2014★ 2 cited
The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
Yasuhiro Ishitsuka, Tetsushi Ito
We give an application of Mumford's theory of canonical theta characteristics to a Diophantine problem in characteristic two. We prove that a smooth plane curve over a global field…
math.NT2014★ 3 cited
The local-global principle for symmetric determinantal representations of smooth plane curves
Yasuhiro Ishitsuka, Tetsushi Ito
A smooth plane curve is said to admit a symmetric determinantal representation if it can be defined by the determinant of a symmetric matrix with entries in linear forms in three v…