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Covariant Hyperelliptic Functions of Genus Two
C. Athorne University of Glasgow
Abstract:
We report results of investigations concerning the role of representations of $SL_2(\mathbb C)$ 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 $\mathcal P$ functions.
Keywords:
hyperelliptic curves, covariance, $\wp$-functions, Hirota derivatives.
Citation:
C. Athorne, “Covariant Hyperelliptic Functions of Genus Two”, TMF, 137:1 (2003), 5–13; Theoret. and Math. Phys., 137:1 (2003), 1359–1366
Linking options:
https://www.mathnet.ru/eng/tmf238https://doi.org/10.4213/tmf238 https://www.mathnet.ru/eng/tmf/v137/i1/p5
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Abstract page: | 315 | Full-text PDF : | 203 | References: | 53 | First page: | 1 |
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