On Weddle Surfaces And Their Moduli
| dc.creator | Bolognesi, Michele | |
| dc.date | 2006-01-11 | |
| dc.date | 2006-10-04 | |
| dc.date.accessioned | 2026-07-07T06:58:47Z | |
| dc.date.available | 2026-07-07T06:58:47Z | |
| dc.description | The Weddle surface is classically known to be a birational (partially desingularized) model of the Kummer surface. In this note we go through its relations with moduli spaces of abelian varieties and of rank two vector bundles on a genus 2 curve. First we construct a moduli space A\_2(3)^- parametrizing abelian surfaces with a symmetric theta structure and an odd theta characteristic. Such objects can in fact be seen as Weddle surfaces. We prove that A\_2(3)^- is rational. Then, given a genus 2 curve C, we give an interpretation of the Weddle surface as a moduli space of extensions classes (invariant with respect to the hyperelliptic involution) of the canonical sheaf ωof C with ω^{-1}. This in turn allows to see the Weddle surface as a hyperplane section of the secant variety Sec(C) of the curve C tricanonically embedded in P^4. | |
| dc.description | 35 pages, to appear in Advances in Geometry, part of the author's Phd Thesis | |
| dc.identifier | https://arxiv.org/abs/math/0601251 | |
| dc.identifier | http://arxiv.org/abs/math/0601251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107497 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K10, 14E05, 14H60 | |
| dc.title | On Weddle Surfaces And Their Moduli | |
| dc.type | text |