- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (1)
- Authors
- Bushueva, Natalia A.
- Contact information
- Bushueva, Natalia A. : Institute of Mathematics, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041 Russia , e-mail:
- Keywords
- homology group; embedding; Whitney sphere
- Abstract
It is known due to S.Yu. Nemirovski, that for n ≥ 3 and generic hypersurface V ( Cn of degree d ≥ 3 there exists a sum of the Whitney spheres homotopic to an embedded sphere, which represents a nontrivial homological class of the homology group Hn(Cn \ V ). We discuss whether a linear combination of the Whitney spheres can be represented as an embedded sphere.
- Pages
- 11-17
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/2160
Journal of Siberian Federal University. Mathematics & Physics / On Spherical Cycles in the Complement to Complex Hypersurfaces
Full text (.pdf)