On deformation types of real elliptic surfaces - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2006

On deformation types of real elliptic surfaces

Résumé

We study real elliptic surfaces and trigonal curves (over a base of an arbitrary genus) and their equivariant deformations. We calculate the real Tate-Shafarevich group and reduce the deformation classification to the combinatorics of a real version of Grothendieck's {\it dessins d'enfants}. As a consequence, we obtain an explicit description of the deformation classes of $M$- and $(M-1)$- (i.e., maximal and submaximal in the sense of the Smith inequality) curves and surfaces.

Dates et versions

hal-00159664 , version 1 (03-07-2007)

Identifiants

Citer

Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov. On deformation types of real elliptic surfaces. 2006. ⟨hal-00159664⟩
94 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More