On deformation types of real elliptic surfaces
| dc.creator | Degtyarev, Alex | |
| dc.creator | Itenberg, Ilia | |
| dc.creator | Kharlamov, Viatcheslav | |
| dc.date | 2006-10-02 | |
| dc.date | 2008-07-30 | |
| dc.date.accessioned | 2026-07-07T12:41:03Z | |
| dc.date.available | 2026-07-07T12:41:03Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0610063 | |
| dc.identifier | http://arxiv.org/abs/math/0610063 | |
| dc.identifier | Amer. J. Math., 130:6 (2008), 1561--1627 | |
| dc.identifier | doi:10.1353/ajm.0.0029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219644 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J27, 14P25, 05C90 | |
| dc.title | On deformation types of real elliptic surfaces | |
| dc.type | text |