On the topological structure of complex projective complete intersections with quadratic singularities
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 62-66
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$n$-Dimensional complete intersections of “sufficiently high multidegree” in $\mathbb C P^{n+k}$, $n\ge3$, with fixed number and, possibly, position of singular points are studied. In the case where all singularities are
quadratic, we give a topological description of such a variety in terms of a connected sum decomposition of special type. In this case, the diffeomorphism type of the variety is determined by the dimension, multidegree, and the number of singular points.
@article{ZNSL_1998_252_a6,
author = {O. A. Ivanov and N. Yu. Netsvetaev},
title = {On the topological structure of complex projective complete intersections with quadratic singularities},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {62--66},
publisher = {mathdoc},
volume = {252},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a6/}
}
TY - JOUR AU - O. A. Ivanov AU - N. Yu. Netsvetaev TI - On the topological structure of complex projective complete intersections with quadratic singularities JO - Zapiski Nauchnykh Seminarov POMI PY - 1998 SP - 62 EP - 66 VL - 252 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a6/ LA - ru ID - ZNSL_1998_252_a6 ER -
%0 Journal Article %A O. A. Ivanov %A N. Yu. Netsvetaev %T On the topological structure of complex projective complete intersections with quadratic singularities %J Zapiski Nauchnykh Seminarov POMI %D 1998 %P 62-66 %V 252 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a6/ %G ru %F ZNSL_1998_252_a6
O. A. Ivanov; N. Yu. Netsvetaev. On the topological structure of complex projective complete intersections with quadratic singularities. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 62-66. http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a6/