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- W2401672231 abstract "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 determinantal representations as rational points on the affine part of Jacobian varieties, we give an algorithm to obtain all linear determinantal representations up to equivalence. We also report our recent study on computations of linear determinantal representations of twisted Fermat cubics defined over the field of rational numbers. This paper is a summary of the author's talk at the JSIAM JANT workshop on algorithmic number theory in March, 2016. Details will appear elsewhere." @default.
- W2401672231 created "2016-06-24" @default.
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- W2401672231 date "2016-05-21" @default.
- W2401672231 modified "2023-09-27" @default.
- W2401672231 title "An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields" @default.
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