V.A.Vassiliev
How to calculate homology groups of spaces of
nonsingular algebraic projective hypersurfaces

Abstract

A general method of computing cohomology groups of the space of nonsingular
algebraic hypersurfaces of degree $d$ in $\CP^n$ is described.
Using this method, rational cohomology groups of such spaces
with $n=2, d \le 4$  and $n=3=d$ are calculated.