Geodesic
On spherical cycles in the complement to complex hypersurfaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 11-17

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It is known due to S. Yu. Nemirovski, that for $n\geq3$ and generic hypersurface $V\subset\mathbb C^n$ of degree $d\geq3$ there exists a sum of the Whitney spheres homotopic to an embedded sphere, which represents a nontrivial homological class of the homology group $H_n(\mathbb C^n\setminus V)$. We discuss whether a linear combination of the Whitney spheres can be represented as an embedded sphere.
Keywords: homology group, embedding, Whitney sphere. 
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     author = {Natalia A. Bushueva},
     title = {On spherical cycles in the complement to complex hypersurfaces},
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Natalia A. Bushueva. On spherical cycles in the complement to complex hypersurfaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 11-17. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a1/