The action of the Frobenius map on rank 2 vector bundles in characteristic 2
| dc.creator | Laszlo, Yves | |
| dc.creator | Pauly, Christian | |
| dc.date | 2000-05-04 | |
| dc.date.accessioned | 2026-07-07T04:35:00Z | |
| dc.date.available | 2026-07-07T04:35:00Z | |
| dc.description | Let $X$ be an ordinary smooth curve defined over an algebraically closed field of characteristic 2. The absolute Frobenius induces a rational map $F$ on the moduli space $M_X$ of rank 2 vector bundles with fixed trivial determinant. If the genus of $X$ is 2, the moduli space $M_X$ is isomorphic to projective space of dimension 3 (as over the complex numbers). In this case we explicitly give the equations of $F$, which enables us to determine, for example, its base locus (one point) and its image (different from $M_X$). | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0005044 | |
| dc.identifier | http://arxiv.org/abs/math/0005044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59123 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The action of the Frobenius map on rank 2 vector bundles in characteristic 2 | |
| dc.type | text |