English

Topology of real cubic fourfolds

Algebraic Geometry 2014-02-26 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.0906.1480,
  title  = {Topology of real cubic fourfolds},
  author = {S. Finashin and V. Kharlamov},
  journal= {arXiv preprint arXiv:0906.1480},
  year   = {2014}
}

Comments

28 pages, 6 figures

R2 v1 2026-06-21T13:10:50.856Z