Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893488 | Journal of Geometry and Physics | 2008 | 18 Pages |
Abstract
We discuss the theory of generalized Weierstrass σσ and ℘℘-functions defined on a trigonal curve of genus 4, following earlier work on the genus 3 case. The specific example of the “purely trigonal” (or “cyclic trigonal”) curve y3=x5+λ4x4+λ3x3+λ2x2+λ1x+λ0y3=x5+λ4x4+λ3x3+λ2x2+λ1x+λ0 is discussed in detail, including a list of some of the associated partial differential equations satisfied by the ℘℘-functions, and the derivation of addition formulae.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
S. Baldwin, J.C. Eilbeck, J. Gibbons, Y. Ônishi,