Counting rational curves with an $m$-fold point

Indranil Biswas, Chitrabhanu Chaudhuri, Apratim Choudhury +2

We obtain a recursive formula for the number of rational degree $d$ curves in ${\mathbb{CP}}^2$ that pass through $3d+1-m$ generic points and that have an $m$-fold singular point. Th…