The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3
| dc.creator | Laszlo, Yves | |
| dc.creator | Pauly, Christian | |
| dc.date | 2002-03-18 | |
| dc.date.accessioned | 2026-07-07T04:47:08Z | |
| dc.date.available | 2026-07-07T04:47:08Z | |
| dc.description | Let X be a smooth projective curve of genus g>1 defined over an algebraically closed field k of characteristic p>0. Let M_X(r) be the moduli space of semi-stable rank r vector bundles with fixed trivial determinant. The relative Frobenius map F : X \to X_1 induces by pull-back a rational map V: M_{X_1}(r) \to M_X(r). We determine the equations of V in the following two cases (1) (g,r,p) = (2,2,2) and X non-ordinary with Hasse-Witt invariant equal to 1 (see math.AG/0005044 for the case X ordinary), and (2) (g,r,p) = (2,2,3). We also show, for any triple (g,r,p), the existence of base points of V, i.e., semi-stable bundles E such that F^* E is not semi-stable. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203175 | |
| dc.identifier | http://arxiv.org/abs/math/0203175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63592 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3 | |
| dc.type | text |