The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
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特征二光滑平面曲线对称行列式表示的局部全局原理
DOI：
10.1016/j.jpaa.2016.09.013
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发表时间：
2017
影响因子：
0.8
通讯作者：
Yasuhiro Ishitsuka and Tetsushi Ito
中科院分区：
文献类型：
--
作者：
Y. Matsumoto;H. Ohashi;S. Rams;佐野太郎;Yasuhiro Ishitsuka and 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 of characteristic two is defined by the determinant of a symmetric matrix with entries in linear forms in three variables if and only if such a symmetric determinantal representation exists everywhere locally. It is a special feature in characteristic two because analogous results are not true in other characteristics.
