Art

J-GLOBAL ID：202002216534274798   Reference number：20A0553725

On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree

高次の平滑な平面曲線の線形行列式表示を得るためのアルゴリズムについて

Author (3)： Ishitsuka Yasuhiro (Department of Mathematics, Faculty of Science, Kyoto University) ,  Ito Tetsushi (Department of Mathematics, Faculty of Science, Kyoto University) ,  Ohshita Tatsuya (Graduate School of Science and Engineering, Ehime University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 11  Page： 9-12(J-STAGE)  Publication year： 2019 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： engineering ,  *mathematical property ,  *computational geometry ,  determinant ,  *computer algorithm ,  rational number ,  equation ,  equivalence relation ,  field(mathematics)
Semi thesaurus term： field(mathematics) ,  4次方程式 ,  *computational engineering and science ,  線形行列式 ,  有理数体

Author keywords (4)： linear determinantal representations ,  plane quartics ,  the Klein quartic ,  the Fermat quartic

JST classification (4)： System and control theory in general  (IA02010H) ,  Graphic and image processing in general  (JE04010I) ,  Numerical computation  (JE02000J) ,  Theory of computation  (JB02000A)

Reference (17)：

• 1) A. Beauville, Determinantal hypersurfaces, Dedicated to W. Fulton on the occasion of his 60th birthday, Michigan Math. J., 48 (2000), 39-64.
• 2) I. Dolgachev, Classical Algebraic Geometry: A Modern View, Cambridge University Press, Cambridge, 2012.
• 3) L. Galinat, Orlov's equivalence and maximal Cohen--Macaulay modules over the cone of an elliptic curve, Math. Nachr., 287 (2014), 1438-1455.
• 4) D. Plaumann, B. Sturmfels and C. Vinzant, Quartic curves and their bitangents, J. Symbolic Comput., 46 (2011), 712-733.
• 5) T. Fisher and R. Newton, Computing the Cassels--Tate pairing on the 3-Selmer group of an elliptic curve, Int. J. Number Theory, 10 (2014), 1881-1907.

Terms in the title (4)： 平面曲線 ,  線形 ,  行列式 ,  アルゴリズム