### 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

Athorne, C., Eilbeck, J. C., & Enolskii, V. Z. (2004). A SL(2) covariant theory of genus 2 hyperelliptic functions.

*Mathematical Proceedings of the Cambridge Philosophical Society*,*136*(2), 269-286. https://doi.org/10.1017/S030500410300728X