First homology of a real cubic is generated by lines

Sergey Finashin; Viatcheslav Kharlamov

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arXiv · 1911.07008

First homology of a real cubic is generated by lines

Sergey Finashin·Viatcheslav Kharlamov

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Abstract

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 $X$ of dimension $\ge 2$ the real lines on $X$ generate the whole group $H_1(X(\Bbb R);\Bbb Z/2)$.

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Sergey Finashin, Viatcheslav Kharlamov. 2019-11-16. First homology of a real cubic is generated by lines. https://arxiv.org/abs/1911.07008

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