On the Hitchin System
| dc.creator | van Geemen, Bert | |
| dc.creator | Previato, Emma | |
| dc.date | 1994-10-14 | |
| dc.date.accessioned | 2026-07-07T09:06:14Z | |
| dc.date.available | 2026-07-07T09:06:14Z | |
| dc.description | The Hitchin system is a completely integrable hamiltonian system (CIHS) on the cotangent space to the moduli space of semi-stable vector bundles over a curve. We consider the case of rank-two vector bundles with trivial determinant. Such a bundle $E$ defines a divisor $D_E$ in the Jacobian of the curve and for any smooth point of $D_E$ we define a cotangent vector (a Higgs field). The Hitchin map on these Higgs fields is then determined in terms of the Gauss map on the divisor $D_E$. We apply the results to the $g=2$ case and show how Hitchin's system is related to classical line geometry in $\PP^3$. | |
| dc.description | 23 pages, LaTeX Version 2.09 <7 Dec 1989> | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9410015 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9410015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149935 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the Hitchin System | |
| dc.type | text |