Abstract
Hypersurfaces of sufficiently high degree in ℂPn+1, n≥3, 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. Bibliography: 6 titles.
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