Geodesic
The topological structure of complex hypersurfaces with quadractic singular points
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 210-214 
N. Yu. Netsvetaev. The topological structure of complex hypersurfaces with quadractic singular points. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 210-214. http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a13/
@article{ZNSL_1995_231_a13,
     author = {N. Yu. Netsvetaev},
     title = {The topological structure of complex hypersurfaces with quadractic singular points},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {210--214},
     year = {1995},
     volume = {231},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a13/}
}
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Hypersurfaces of sufficiently high degree in $\mathbb CP^{n+1}$, $n\ge3$, with fixed number and possibly fixed positions of singular points are studied. In the case where all singularities are quadratic, a topological description of such a hypersurface is given bymeans of decomposing it into a connected sum of special form. In this case, the diffeomorphism type of the hypersurface is determined by its dimension, degree, and the number of singular points. Bibl. 6 titles.