Título inglés |
Real cubic hypersurfaces and group laws. |
Título español |
Hipersuperficies cúbicas reales y leyes de grupo. |
Autor/es |
Huisman, Johannes |
Organización |
Dep. Math. UFR Sci. Techn. Univ. Bretagne Occ., Brest, Francia |
Revista |
1139-1138 |
Publicación |
2004, 17 (2): 395-401, 5 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
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) Í 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. |
Clasificación UNESCO |
120101 |
Palabras clave español |
Variedad algebraica ; Hipersuperficies ; Curvas cúbicas ; Grupos |
Código MathReviews |
MR2083961 |
Código Z-Math |
Zbl 1067.14039 |
Acceso al artículo completo |