The Jacobian of a nonorientable Klein surface
| dc.creator | Ares-Gastesi, Pablo | |
| dc.creator | Biswas, Indranil | |
| dc.date | 2003-10-18 | |
| dc.date.accessioned | 2026-07-07T05:02:03Z | |
| dc.date.available | 2026-07-07T05:02:03Z | |
| dc.description | Using divisors, an analog of the Jacobian for a compact connected nonorientable Klein surface $Y$ is constructed. The Jacobian is identified with the dual of the space of all harmonic real one-forms on $Y$ quotiented by the torsion-free part of the first integral homology of $Y$. Denote by $X$ the double cover of $Y$ given by orientation. The Jacobian of $Y$ is identified with the space of all degree zero holomorphic line bundles $L$ over $X$ with the property that $L$ is isomorphic to $σ^*\bar{L}$, where $σ$ is the involution of $X$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310288 | |
| dc.identifier | http://arxiv.org/abs/math/0310288 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 139-152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68907 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.title | The Jacobian of a nonorientable Klein surface | |
| dc.type | text |