Enumeration of rational curves in a moving family of ${\mathbb{P}}^2$

Ritwik Mukherjee, Anantadulal Paul, Rahul Kumar Singh

We obtain a recursive formula for the number of rational degree $d$ curves in ${\mathbb{P}}^3$, whose image lies in a ${\mathbb{P}}^2$, passing through $r$ lines and $s$ points, where…