The action of the Frobenius map on rank 2 vector bundles over a supersingular genus 2 curve in characteristic 2
| dc.creator | Ducrohet, Laurent | |
| dc.date | 2005-04-25 | |
| dc.date | 2005-07-11 | |
| dc.date.accessioned | 2026-07-07T05:19:24Z | |
| dc.date.available | 2026-07-07T05:19:24Z | |
| dc.description | Let $X$ be a smooth proper genus 2 curve over an algebraically closed field of characteristic 2. The absolute Frobenius induces a rational map $F$ on the the moduli space $M\_X$ of semi-stable rank 2 vector bundles over $X$, which is isomorphic to a 3-dimensional projective space. Y. Laszlo and C. Pauly recently gave the equations of $F$ for an ordinary $X$. Using deformation, we give these equations for a supersingular $X$ and draw some consequences such as the base locus of $F$ (one point), or the stability of the complementary Zariski open set. | |
| dc.description | 15 pages, submitted in april 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0504500 | |
| dc.identifier | http://arxiv.org/abs/math/0504500 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75006 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 | |
| dc.title | The action of the Frobenius map on rank 2 vector bundles over a supersingular genus 2 curve in characteristic 2 | |
| dc.type | text |