Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 204-209
Citer cet article
N. Yu. Netsvetaev. On the homology of a perturbation of a complex projective hypersurfaces. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 204-209. http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a15/
@article{ZNSL_1999_261_a15,
author = {N. Yu. Netsvetaev},
title = {On the homology of a perturbation of a complex projective hypersurfaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {204--209},
year = {1999},
volume = {261},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a15/}
}
TY - JOUR
AU - N. Yu. Netsvetaev
TI - On the homology of a perturbation of a complex projective hypersurfaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 204
EP - 209
VL - 261
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a15/
LA - ru
ID - ZNSL_1999_261_a15
ER -
%0 Journal Article
%A N. Yu. Netsvetaev
%T On the homology of a perturbation of a complex projective hypersurfaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 204-209
%V 261
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a15/
%G ru
%F ZNSL_1999_261_a15
A nonsingular hypersurface $X$ in $\mathbb CP^{n+1}$ with $n\ge3$ are studied. We state a theorem saying that the homology coming from the affine part of a hypersurface of smaller degree forms a durect summand in the homology of $X$, which is independent over integers with the class of the multiple hyperplane section. The proof is outlined.
