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- W2111134589 abstract "Let X be a real cubic hypersurface in Pn . Let C be the pseudo-hyperplane of X , i.e., C is the irreducible global real analytic branch of the real analytic variety X (R) such that the homology class [C ] is nonzero in Hn-1 (Pn (R), Z/2Z). Let L be the set of real linear subspaces L of Pn of dimension n - 2 contained in X such that L(R) C . We show that, under certain conditions on X , there is a group law on the set L. It is determined by L + L + L = 0 in L if and only if there is a real hyperplane H in Pn such that H · X = L + L + L . We also study the case when these conditions on X are not satisfied." @default.
- W2111134589 created "2016-06-24" @default.
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- W2111134589 date "2004-01-01" @default.
- W2111134589 modified "2023-10-18" @default.
- W2111134589 title "Real Cubic Hypersurfaces and Group Laws" @default.
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- W2111134589 doi "https://doi.org/10.5209/rev_rema.2004.v17.n2.16739" @default.
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