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

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

doi:10.1017/S030500410300728X

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

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

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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
Pages (from-to)	269-286
Number of pages	18
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	136
Issue number	2
DOIs	https://doi.org/10.1017/S030500410300728X
Publication status	Published - Mar 2004

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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.",

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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.

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DO - 10.1017/S030500410300728X

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JO - Mathematical Proceedings of the Cambridge Philosophical Society

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

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