Geodesic
On the connected sum decomposition of complex hypersurfaces with quadratic singularities
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 195-212 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the global topological structure of hypersurfaces in $\mathbb CP^{n+1}$, $n\ge3$, with quadratic singularities and prescribed set of singular points. Under certain restrictions on the degree, we give a precise topological description 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. 
@article{ZNSL_1998_252_a17,
     author = {N. Yu. Netsvetaev},
     title = {On the connected sum decomposition of complex hypersurfaces with quadratic singularities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {195--212},
     year = {1998},
     volume = {252},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a17/}
}
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N. Yu. Netsvetaev. On the connected sum decomposition of complex hypersurfaces with quadratic singularities. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 195-212. http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a17/