paper

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

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