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Covariant Hyperelliptic Functions of Genus Two

Authors:	Athorne C.

Affiliation:	(1) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK

Abstract:	We report results of investigations concerning the role of representations of $SL_2 left( mathbb{C} right)$ in the theory of genus-two hyperelliptic functions. We discuss the role of these representations in the classical theory as well as introduce a family of new, naturally covariant functions.

Keywords:	hyperelliptic curves covariance /content/r2477193qn788560/xxlarge8472.gif" alt=" weierp" align=" MIDDLE" BORDER=" 0" >-functions Hirota derivatives
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