Topology of real cubic fourfolds
arXiv:0906.1480 · doi:10.1112/jtopol/jtp034
Abstract
A solution to the problem of topological classification of real cubic fourfolds is presented. It is shown that the real locus of a real non-singular cubic fourfold is obtained from a projective 4-space either by adding several trivial one- and two-handles, or by adding a spherical connected component.
28 pages, 6 figures