The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
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Publication:503801
DOI10.1016/J.JPAA.2016.09.013zbMATH Open1368.14046arXiv1412.8343OpenAlexW2963396084MaRDI QIDQ503801
Author name not available (Why is that?)
Publication date: 23 January 2017
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1412.8343
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