Art

J-GLOBAL ID：202002257575047289   Reference number：20A2355718

The local-global property for bitangents of plane quartics

平面4次方程式の従法線に対する局所大域特性

Author (7)： Ishitsuka Yasuhiro (Center for Science Adventure and Collaborative Research Advancement, Graduate School of Science, Kyoto University) ,  Ishitsuka Yasuhiro (Department of Mathematics, Faculty of Science, Kyoto University) ,  Ito Tetsushi (Department of Mathematics, Faculty of Science, Kyoto University) ,  Ito Tetsushi (Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP)) ,  Ohshita Tatsuya (Department of Mathematics, Faculty of Science and Technology, Keio University) ,  Taniguchi Takashi (Department of Mathematics, Graduate School of Science, Kobe University) ,  Uchida Yukihiro (Department of Mathematical Sciences, Graduate School of Science, Tokyo Metropolitan University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 12  Page： 41-44(J-STAGE)  Publication year： 2020 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *equation ,  *solution(mathematics) ,  *formula manipulation ,  normal line ,  problem ,  index number ,  locality ,  computer algorithm ,  matrix(mathematics) ,  determinant
Semi thesaurus term： *field(mathematics) ,  逆ガロア問題 ,  *局所体 ,  *computer algebra ,  symmetric matrix ,  characteristic ,  *平面四次方程式

Author keywords (3)： plane quartic ,  bitangent ,  local-global property

JST classification (2)： Numerical computation  (JE02000J) ,  System and control theory in general  (IA02010H)

Reference (16)：

• 1) I. Dolgachev, Classical Algebraic Geometry: A Modern View, Cambridge University Press, Cambridge, 2012.
• 2) N. Bruin, B. Poonen and M. Stoll, Generalized explicit descent and its application to curves of genus 3, Forum Math. Sigma, 4 (2016), e6, 80 pages.
• 3) A-S. Elsenhans and J. Jahnel, On plane quartics with a Galois invariant Cayley octad, Eur. J. Math., 5 (2019), 1156-1172.
• 4) A-S. Elsenhans and J. Jahnel, Plane quartics with a Galois-invariant Steiner hexad, Int. J. Number Theory, 15 (2019), 1075-1109.
• 5) J. Jahnel and D. Loughran, The Hasse principle for lines on del Pezzo surfaces, Int. Math. Res. Not., 2015 (2015), 12877-12919.

Terms in the title (1)： 方程式