The Fano surface of the Klein cubic threefold - Mathematics > Algebraic GeometryReportar como inadecuado




The Fano surface of the Klein cubic threefold - Mathematics > Algebraic Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We prove that the Klein cubic threefold $F$ is the only smooth cubicthreefold which has an automorphism of order 11. We compute the period latticeof the intermediate Jacobian of $F$ and study its Fano surface $S$. We computealso the set of fibrations of $S$ onto a curve of positive genus and theintersection between the fibres of these fibrations. These fibres generate anindex 2 sub-group of the N\-eron-Severi group and we obtain a set of generatorsof this group. The N\-eron-Severi group of $S$ has rank $25=h^{1,1}$ anddiscriminant $11^{10}$.



Autor: Xavier Roulleau

Fuente: https://arxiv.org/







Documentos relacionados