Topology of real cubic fourfolds

Details Topology of real cubic fourfolds Topology of real cubic fourfolds

2009-06-08

arxiv.org/abs/0906.1480v1

Mathematics

Algebraic Geometry

28 pages, 6 figures

Scientific paper

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.

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