Journal of Siberian Federal University. Mathematics & Physics: On Spherical Cycles in the Complement to Complex Hypersurfaces

Journal of Siberian Federal University. Mathematics & Physics / On Spherical Cycles in the Complement to Complex Hypersurfaces

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 H_n(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