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

Chris Athorne, J. C. Eilbeck, V. Z. Enolskii

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)269-286
Number of pages18
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume136
Issue number2
DOIs
Publication statusPublished - Mar 2004

Fingerprint

Genus
Branch Point
Infinity
Curve
Formulation
Term
Family
Interpretation

Cite this

@article{43649f6876f74f02ba69ffbc14d3aa38,
title = "A SL(2) covariant theory of genus 2 hyperelliptic functions",
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.",
author = "Chris Athorne and Eilbeck, {J. C.} and Enolskii, {V. Z.}",
year = "2004",
month = "3",
doi = "10.1017/S030500410300728X",
language = "English",
volume = "136",
pages = "269--286",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "2",

}

A SL(2) covariant theory of genus 2 hyperelliptic functions. / Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 136, No. 2, 03.2004, p. 269-286.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A SL(2) covariant theory of genus 2 hyperelliptic functions

AU - Athorne, Chris

AU - Eilbeck, J. C.

AU - Enolskii, V. Z.

PY - 2004/3

Y1 - 2004/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=1642586832&partnerID=8YFLogxK

U2 - 10.1017/S030500410300728X

DO - 10.1017/S030500410300728X

M3 - Article

VL - 136

SP - 269

EP - 286

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -