Abelian Functions for Cyclic Trigonal Curves of Genus Four
| dc.creator | Baldwin, S. | |
| dc.creator | Eilbeck, J. C. | |
| dc.creator | Gibbons, J. | |
| dc.creator | Ônishi, Y. | |
| dc.date | 2006-12-21 | |
| dc.date.accessioned | 2026-07-07T09:28:22Z | |
| dc.date.available | 2026-07-07T09:28:22Z | |
| dc.description | We discuss the theory of generalized Weierstrass $σ$ and $\wp$ functions defined on a trigonal curve of genus four, following earlier work on the genus three case. The specific example of the "purely trigonal" (or "cyclic trigonal") curve $y^3=x^5+λ_4 x^4 +λ_3 x^3+λ_2 x^2 +λ_1 x+λ_0$ is discussed in detail, including a list of some of the associated partial differential equations satisfied by the $\wp$ functions, and the derivation of an addition formulae. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612654 | |
| dc.identifier | http://arxiv.org/abs/math/0612654 | |
| dc.identifier | J. Geom. Phys., v. 58, 450-467, 2008 | |
| dc.identifier | doi:10.1016/j.geomphys.2007.12.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157432 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14H42; 15A15; 33E05 | |
| dc.title | Abelian Functions for Cyclic Trigonal Curves of Genus Four | |
| dc.type | text |