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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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 210–214.
Translated by N. Yu. Netsvetaev.
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Netsvetaev, N.Y. The topological structure of complex hypersurfaces with quadractic singular points. J Math Sci 91, 3469–3471 (1998). https://doi.org/10.1007/BF02434924
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DOI: https://doi.org/10.1007/BF02434924