The Vanishing of the Theta Function in the KP Direction: a Geometric Approach
| dc.creator | Birkenhake, Ch. | |
| dc.creator | Vanhaecke, P. | |
| dc.date | 2001-10-18 | |
| dc.date.accessioned | 2026-07-07T04:43:55Z | |
| dc.date.available | 2026-07-07T04:43:55Z | |
| dc.description | We give a geometric proof of a formula, due to Segal and Wilson, which describes the order of vanishing of the Riemann theta function in the direction which corresponds to the direction of the tangent space of a Riemann surface at a marked point. While this formula appears in the work of Segal and Wilson as a by-product of some non-trivial constructions from the theory of integrable systems (loop groups, infinite-dimensional Grassmannians, tau functions, Schur polynomials, ...) our proof only uses the classical theory of linear systems on Riemann surfaces. | |
| dc.description | 8 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0110193 | |
| dc.identifier | http://arxiv.org/abs/math/0110193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62428 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 14K25, 14H40, 14H55 | |
| dc.title | The Vanishing of the Theta Function in the KP Direction: a Geometric Approach | |
| dc.type | text |