Kowalevski top and genus-2 curves

Journal of Physics A: Mathematical and General

Volumn 34, Issue 11, 2001, Pages 2125-2135

  Markushevich, Dimitri ^a  

^a UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035937674     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/11/306     Document Type: Article

References (14)

1. Audin M 1996 Spinning Tops, a Course on Integrable Systems (Cambridge Studies in Advanced Mathematics vol 51) (Cambridge: Cambridge University Press)
2. Bost J-B and Mestre J-F 1988 Moyenne arithmético-géométrique et période des courbes de genre 1 et 2 Gaz. Math. Soc. France 38 36-64
3. Bobenko A I, Reyman A G and Semenov-Tian-Shansky M A 1989 The Kowalevski top 99 years later - a Lax pair, generalizations and explicit solutions Commun. Math. Phys. 122 321-54
4. Cassels J W S and Flynn E V 1996 Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 (London Mathematical Society Lecture Note Series vol 230) (Cambridge: Cambridge University Press)
5. Humbert G 1901 Sur la transformation ordinaire des fonctions abéliennes J. Math. 7 5
6. Kuznetsov V B 1985 Quasiclassical quantization of the Kowalevski top MSc Thesis Leningrad University
7. Kuznetsov V B 1989 Applications of the inverse scattering method to 2-dimensional classical and quantum integrable systems PhD Thesis Leningrad University
8. Komarov I V and Kuznetsov V B 1987 Quasiclassical quantization of the Kowalevski top Theor. Math. Phys. 73 1255-63
9. Kowalevski S 1889 Sur le problème de la rotation d'un corps solide autour d'un point fixe Acta Math. 14 177-232
10. Kuznetsov V B and Tsiganov A V 1989 A special case of Neumann's system and the Kowalevski-Goryachev-Chaplygin top J. Phys. A: Math. Gen. 22 L73-9
11. Leprévost F and Markushevich D 1999 A tower of genus-2 curves related to the Kowalevski top J. Reine Angew. Math. 514 103-11
12. Richelot F 1836 Essai sur une méthode générale pour déterminer la valeur des intégrales ultra-elliptiques, fondée sur des transformations remarquables de ces transcendantes C. R. Acad. Sci., Paris 2 622-7
13. Richelot F 1837 De transformation integralium Abelianorum primiordinis commentation J. Reine Angew. Math. 16 221-341
14. Reyman A G and Semenov-Tian-Shansky M A 1987 Lax representation with a spectral parameter for the Kowalevski top and its generalizations Lett. Math. Phys. 14 55-61