Splitting invariants and a π1-equivalent Zariski-pair of conic-line arrangements

於 Zoom (2022年10月18日-10月21日)2022年度科学研究費補助金 基盤研究(A)(課題番号 21H04429, 代表 並河良典)世話人: 池田京司(東京電機大), 稲場道明(京都大), 深澤知(山形大)This article is based on joint work with M. Amram (Shamoon College of Engineering, Israel), T. Shirane (Tokushima U.), U. Sinichkin (Tel Aviv University, Israel) and H. Tokunaga (TMU).This article is based on the authors talk given at the Kinosaki Algebraic Geometry Symposium 2022. We give a brief overview of the subject of the embedded topology of plane curves. Furthermore, we illustrate the idea of a relatively new type of invariants called splitting invariants which prove effective in distinguishing the topology of plane curves. We also describe a new example of a π1-equivalent Zariski-pair consisting of conic-line arrangements of degree 7