Research output: Contribution to journal › Article › peer-review
Homology and cohomology of hypersurfaces with quadratic singular points in generic position. / Netsvetaev, N. Yu.
In: Journal of Mathematical Sciences , Vol. 94, No. 4, 1999, p. 1564-1567.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Homology and cohomology of hypersurfaces with quadratic singular points in generic position
AU - Netsvetaev, N. Yu
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1999
Y1 - 1999
N2 - We calculate the homology groups of hypersurfaces in ℂPn+1, n ≥ 3, with fixed number and, maybe, position of singular points and sufficiently high degree. In the case of quadratic singularities, we use the results of the calculations to give a topological description (as specific as possible) of such a hypersurface by means of decomposing it into a connected sum. In this case the topological type of the hypersurface is determined by its dimension, degree, and the number of singular points. Bibliography: 7 titles.
AB - We calculate the homology groups of hypersurfaces in ℂPn+1, n ≥ 3, with fixed number and, maybe, position of singular points and sufficiently high degree. In the case of quadratic singularities, we use the results of the calculations to give a topological description (as specific as possible) of such a hypersurface by means of decomposing it into a connected sum. In this case the topological type of the hypersurface is determined by its dimension, degree, and the number of singular points. Bibliography: 7 titles.
UR - http://www.scopus.com/inward/record.url?scp=53149113765&partnerID=8YFLogxK
U2 - 10.1007/BF02365202
DO - 10.1007/BF02365202
M3 - Article
AN - SCOPUS:53149113765
VL - 94
SP - 1564
EP - 1567
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 4
ER -
ID: 75602764