Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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