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The topological structure of complex hypersurfaces with quadratic singular points. / Netsvetaev, N. Yu.
в: Journal of Mathematical Sciences , Том 91, № 6, 1998, стр. 3469-3471.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The topological structure of complex hypersurfaces with quadratic singular points
AU - Netsvetaev, N. Yu
N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1998
Y1 - 1998
N2 - 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 by means 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.
AB - 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 by means 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.
UR - http://www.scopus.com/inward/record.url?scp=54749154105&partnerID=8YFLogxK
U2 - 10.1007/BF02434924
DO - 10.1007/BF02434924
M3 - Article
AN - SCOPUS:54749154105
VL - 91
SP - 3469
EP - 3471
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 75602840