31 citations · 75 across the 31 of their papers we have counts for
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First homology of a real cubic is generated by lines
Sergey Finashin, Viatcheslav Kharlamov
We suggest a short proof of O.Benoist and O.Wittenberg theorem (arXiv:1907.10859) which states that for each real non-singular cubic hypersurface of dimension the real…
Deformation classes of real Cayley M-octads
Sergey Finashin
We study 8-point configurations in the real projective space forming an intersection locus of three quadrics and containing no coplanar quadruples. We found that there exists preci…
Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification
Sergey Finashin, Viatcheslav Kharlamov
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 transforma…
Segre indices and Welschinger weights as options for invariant count of real lines
Sergey Finashin, Viatcheslav Kharlamov
In our previous paper we have elaborated a certain signed count of real lines on real projective n-dimensional hypersurfaces of degree 2n-1. Contrary to the honest "cardinal" count…