Abelian Functions for Trigonal Curves of Genus Three

Details Abelian Functions for Trigonal Curves of Genus Three Abelian Functions for Trigonal Curves of Genus Three

2006-09-30

arxiv.org/abs/math/0610019v2

International Mathematics Research Notices, v 2007, Art.ID rnm140 (38 pages) (2007)

Mathematics

Algebraic Geometry

32 pages, no figures. Revised version has the a fuller description of the general (3,4) trigonal curve results, the first vers

Scientific paper

10.1093/imrn/rnm140

We develop the theory of generalized Weierstrass sigma- and \wp-functions defined on a trigonal curve of genus three. In particular we give a list of the associated partial differential equations satisfied by the \wp-functions, a proof that the coefficients of the power series expansion of the sigma-function are polynomials of moduli parameters, and the derivation of two addition formulae.

Affiliated with

Also associated with

No associations

Rating

Abelian Functions for Trigonal Curves of Genus Three does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Abelian Functions for Trigonal Curves of Genus Three, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian Functions for Trigonal Curves of Genus Three will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616419