Homology and cohomology of hypersurfaces with quadratic singular points in generic position

We calculate the homology groups of hypersurfaces in $CP^{n+1}$, $n\ge3$, with fixed number and, maybe, position of singular points and sufficiently high degree. In the case of quadratic singularities, we use the results of the calculations to give a topological description (as specific as possible) of such a hypersurface by means of decomposing it into a connected sum. In this case the topological type of the hypersurface is determined by its dimension, degree, and the number of singular points. Bibl. 7 titles.