Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Canonical system on elliptic curves

Author: Luis A. Piovan
Journal: Proc. Amer. Math. Soc. 119 (1993), 1323-1329
MSC: Primary 14H52; Secondary 14H40, 14H42, 14K25, 58F07
MathSciNet review: 1196168
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).

References [Enhancements On Off] (What's this?)

  • [AvM] M. Adler and P. van Moerbeke, Completely integrable systems--A systematic approach towards solving integrable systems, preprint.
  • [Ar] V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, New York-Heidelberg, 1978. Translated from the Russian by K. Vogtmann and A. Weinstein; Graduate Texts in Mathematics, 60. MR 0690288
  • [Ba] W. Barth, Affine parts of abelian surfaces as complete intersections of four quadrics, Math. Ann. 278 (1987), no. 1-4, 117–131. MR 909220, 10.1007/BF01458063
  • [Mu] D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287–354. MR 0204427
  • [P] Luis A. Piovan, Algebraically completely integrable systems and Kummer varieties, Math. Ann. 290 (1991), no. 2, 349–403. MR 1109639, 10.1007/BF01459250

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14H52, 14H40, 14H42, 14K25, 58F07

Retrieve articles in all journals with MSC: 14H52, 14H40, 14H42, 14K25, 58F07

Additional Information

Article copyright: © Copyright 1993 American Mathematical Society