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arXiv · 1905.09032

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

Sergey Finashin·Viatcheslav Kharlamov
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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.

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Sergey Finashin, Viatcheslav Kharlamov. 2020-03-07. Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification. https://doi.org/10.1007/s13163-020-00351-1

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