Counting Surfaces Singular Along a Line in $P^3$

Abstract

We enumerate the number of surfaces of degree $d$ in $P^3$ having a singular line of order $k$, passing through $\delta$ generic points (where $\delta$ is the dimension of moduli space of such surfaces).

The second version fixes a computation mistake from the first version, example of cubic scrolls is added. The third version is grammar and style improvements