A SL(2) covariant theory of genus 2 hyperelliptic functions

Athorne, C., Eilbeck, J.C. and Enolskii, V.Z. (2004) A SL(2) covariant theory of genus 2 hyperelliptic functions. Mathematical Proceedings of the Cambridge Philosophical Society, 136(2), pp. 269-286. (doi:10.1017/S030500410300728X)

Full text not currently available from Enlighten.

Publisher's URL: http://dx.doi.org/10.1017/S030500410300728X

Abstract

We present an algebraic formulation of genus 2 hyperelliptic functions which exploits the underlying covariance of the family of genus 2 curves. This allows a simple interpretation of all identities in representation theoretic terms. We show how the classical theory is recovered when one branch point is moved to infinity.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Athorne, Dr Chris
Authors: Athorne, C., Eilbeck, J.C., and Enolskii, V.Z.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Proceedings of the Cambridge Philosophical Society
ISSN:0305-0041
ISSN (Online):1469-8064

University Staff: Request a correction | Enlighten Editors: Update this record