English

Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification

Algebraic Geometry 2020-03-10 v3

Abstract

In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the hypersurface non-singular. Here, we perform a finer classification giving a full answer to the chirality problem: which of real non-singular cubic hypersurfaces can not be continuously deformed to their mirror reflection.

Keywords

Cite

@article{arxiv.1905.09032,
  title  = {Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification},
  author = {Sergey Finashin and Viatcheslav Kharlamov},
  journal= {arXiv preprint arXiv:1905.09032},
  year   = {2020}
}

Comments

21 pages, 12 Figures, Journal reference added, no changes in the text