JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree
Yasuhiro IshitsukaTetsushi ItoTatsuya Ohshita
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2019 年 11 巻 p. 9-12

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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 representatives of all equivalence classes of linear determinantal representations of two special quartics over the field $\Q$ of rational numbers, the Klein quartic and the Fermat quartic.

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© 2019, The Japan Society for Industrial and Applied Mathematics
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