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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 изданияхстатьяРецензирование

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Netsvetaev, N. Yu. / The topological structure of complex hypersurfaces with quadratic singular points. в: Journal of Mathematical Sciences . 1998 ; Том 91, № 6. стр. 3469-3471.

BibTeX

@article{9d90b9c9931944319087ecf2e2a0b72b,
title = "The topological structure of complex hypersurfaces with quadratic singular points",
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 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.",
author = "Netsvetaev, {N. Yu}",
note = "Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",
year = "1998",
doi = "10.1007/BF02434924",
language = "English",
volume = "91",
pages = "3469--3471",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

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