Covariant Hyperelliptic Functions of Genus Two
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 5-13
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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.
@article{TMF_2003_137_1_a1,
author = {C. Athorne},
title = {Covariant {Hyperelliptic} {Functions} of {Genus} {Two}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {5--13},
publisher = {mathdoc},
volume = {137},
number = {1},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a1/}
}
C. Athorne. Covariant Hyperelliptic Functions of Genus Two. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 5-13. http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a1/