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Topological structure of complex projective complete intersections with quadratic singularities. / Ivanov, O. A.; Netsvetaev, N. Yu.

In: Journal of Mathematical Sciences, Vol. 104, No. 4, 01.01.2001, p. 1289-1292.

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@article{62e9518a3d254544b64d99b9ed071d8f,
title = "Topological structure of complex projective complete intersections with quadratic singularities",
abstract = "We study n-dimensional complete intersections of {"}sufficiently high{"} multidegree in ℂPn+k, n ≥ 3, with fixed number and, possibly, position of singularities. In the case of quadratic singularities, we give a topological description of such a complete intersection by decomposing it into a connected sum of special form. In this case, the diffeomorphism type of the variety is determined by its dimension, multidegree, and the number of singular points.",
author = "Ivanov, {O. A.} and Netsvetaev, {N. Yu}",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1011329814115",
language = "English",
volume = "104",
pages = "1289--1292",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Topological structure of complex projective complete intersections with quadratic singularities

AU - Ivanov, O. A.

AU - Netsvetaev, N. Yu

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We study n-dimensional complete intersections of "sufficiently high" multidegree in ℂPn+k, n ≥ 3, with fixed number and, possibly, position of singularities. In the case of quadratic singularities, we give a topological description of such a complete intersection by decomposing it into a connected sum of special form. In this case, the diffeomorphism type of the variety is determined by its dimension, multidegree, and the number of singular points.

AB - We study n-dimensional complete intersections of "sufficiently high" multidegree in ℂPn+k, n ≥ 3, with fixed number and, possibly, position of singularities. In the case of quadratic singularities, we give a topological description of such a complete intersection by decomposing it into a connected sum of special form. In this case, the diffeomorphism type of the variety is determined by its dimension, multidegree, and the number of singular points.

UR - http://www.scopus.com/inward/record.url?scp=52549106190&partnerID=8YFLogxK

U2 - 10.1023/A:1011329814115

DO - 10.1023/A:1011329814115

M3 - Article

AN - SCOPUS:52549106190

VL - 104

SP - 1289

EP - 1292

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 36967352