Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations

Functional Analysis and its Applications

Volumn 34, Issue 3, 2000, Pages 159-171

  Buchstaber, V M ^a   Enolskii, V Z ^b   Leykin, D V ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF MAGNETISM   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044523679     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02482405     Document Type: Article

References (12)

1. H. F. Baker, Multiply Periodic Functions, Cambridge University Press, Cambridge, 1907.
2. H. F. Baker, Abelian Functions, Cambridge University Press, Cambridge, 1995.
3. V. M. Buchstaber, V. Z. Enolskii, and D. V. Leykin, "Kleinian functions, hyperelliptic Jacobians and applications," In: Reviews in Mathematics and Mathematical Physics (Novikov S. P., Krichever I. M., eds.), vol. 10, no. 2, Gordon & Breach, London, 1997, pp. 1-125.
4. V. M. Buchstaber, V. Z. Enolskii, D. V. Leykin, "Rational analogs of Abelian functions," Funkts. Anal. Prilozhen., 33, No. 2, 1-15 (1999).
5. V. M. Buchstaber and E. G. Rees, Symmetric Powers of Algebraic Varieties, Preprint, Edinburgh University, Dec. 1999.
6. B. A. Dubrovin, "Theta-functions and nonlinear equations," Usp. Mat. Nauk, 36, No. 2, 11-80 (1981).
7. J. D. Fay, Theta functions on Riemann surfaces, Lecture Notes in Math., vol. 352, Springer-Verlag, Berlin, 1973.
8. F. R. Gantmakher, The Theory of Matrices, Chelsea Publ. Corp., NY, 1959.
9. V. G. Kac, Infinite Dimensional Lie Algebras, Birkhäuser, 1983.
10. F. Klein, "Über hyperelliptische Sigmafunctionen," Math. Ann., 32, 351-380 (1888).
11. D. Mumford, Tata Lectures on Theta, I, II, Birkhäuser, 1983, 1984.
12. N. G. Chebotarev, Algebraic Functions Theory [in Russian], OGIZ, Moscow, 1948.