Homology and cohomology of hypersurfaces with quadratic singular points in generic position

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Homology and cohomology of hypersurfaces with quadratic singular points in generic position. / Netsvetaev, N. Yu.

в: Journal of Mathematical Sciences , Том 94, № 4, 1999, стр. 1564-1567.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{da3bdfe277704d9f8bd3011b5484c783,

title = "Homology and cohomology of hypersurfaces with quadratic singular points in generic position",

abstract = "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.",

author = "Netsvetaev, {N. Yu}",

year = "1999",

doi = "10.1007/BF02365202",

language = "English",

volume = "94",

pages = "1564--1567",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Homology and cohomology of hypersurfaces with quadratic singular points in generic position

AU - Netsvetaev, N. Yu

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