南方科技大学 // 数学系 // 学术会议 English

Geometry & Topology Seminar

1970/01/01-1970/01/01

Choosing points on cubic plane curves

Abstract 
It is a classical topic to study structures of certain special points on complex smooth cubic plane curves, for example, the 9 flex points and the 27 sextactic points. We consider the following topological question asked by Farb: Is it true that the known algebraic structures give all the possible ways to continuously choose n distinct points on every smooth cubic plane curve, for each given positive integer n? This work is joint with Ishan Banerjee.