Heriot-Watt Mathematics Report Series
HWM99-9, 10 Mar 1999

On the Kleinian construction of Abelian functions of canonical algebraic curves

J C Eilbeck, V Z Enolskii and D V Leykin


Abstract

In this paper we consider an arbitrary algebraic curve $V$ of genus $g$ and construct the field of meromorphic functions on its Jacobi variety $\mathrm{ Jac} (V)$ in terms of Kleinian $\wp$-functions.

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Full text: http://www.ma.hw.ac.uk/~chris/eel98.pdf


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