### 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 language | English |
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Pages (from-to) | 269-286 |

Number of pages | 18 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 136 |

Issue number | 2 |

DOIs | |

Publication status | Published - Mar 2004 |

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### Cite this

*Mathematical Proceedings of the Cambridge Philosophical Society*,

*136*(2), 269-286. https://doi.org/10.1017/S030500410300728X

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*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 136, no. 2, pp. 269-286. https://doi.org/10.1017/S030500410300728X

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

Research output: Contribution to journal › Article

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 -