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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 1, Pages 5–13
DOI: https://doi.org/10.4213/tmf238 (Mi tmf238) 		 
Covariant Hyperelliptic Functions of Genus Two

C. Athorne

University of Glasgow
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DOI: https://doi.org/10.4213/tmf238
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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 1, Pages 1359–1366
DOI: https://doi.org/10.1023/A:1026088203139
Bibliographic databases:
Language: Russian
Citation: C. Athorne, “Covariant Hyperelliptic Functions of Genus Two”, TMF, 137:1 (2003), 5–13; Theoret. and Math. Phys., 137:1 (2003), 1359–1366
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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