Skip to main content
SpringerLink
Log in

Generalized Weierstrassp-functions and KP flows in affine spaceand KP flows in affine space

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. M. R. Adams, J. Harnad andE. Previato, Generalized Moser systems and moment maps into Kac-Moody Lie algebras, preprint.

  2. M. Adler, On a trace functional for formal pseudodifferential operators and the symplectic structure of the Korteweg-de Vries equation,Inv. Math. 50 (1979), 219–248.

    Article  Google Scholar 

  3. J. L. Burchnall andT. W. Chaundy, Commutative ordinary differential operators,Proc. Lond. Math. Soc. Ser. 2, 21 (1922), 420–440 andProc. R. Soc. Lond. A118 (1928), 557–583.

    Google Scholar 

  4. J. M. Cherednik, Differential equations for the Baker Akhiezer functions of algebraic curves,Funct. Anal. Appl. 12 (1978), 195–203.

    Article  MathSciNet  Google Scholar 

  5. H. Flaschka, A. C. Newell andT. Ratiu, Kac-Moody Lie algebras and soliton equations II and III, Physica 9D (1983), 300–332.

    MathSciNet  Google Scholar 

  6. P. Griffiths andJ. Harris,Principles of algebraic geometry, Wiley-Interscience, 1978.

  7. I. M. Krichever, Methods of algebraic geometry in the theory of nonlinear equations,Russian Math. Surveys 32 (1977), 185–214.

    Article  Google Scholar 

  8. H. P. McKean, Boussinesq's equation on the circle,Comm. Pure Appl. Math. 34 (1981), 599–692.

    MathSciNet  Google Scholar 

  9. H. P. McKean andP. van Moerbeke, The spectrum of Hill's operator,Invent. Math. 30 (1975), 217–274.

    Article  MathSciNet  Google Scholar 

  10. M. Mulase, Cohomological structure in soliton equations and Jacobian varieties,J. Diff. Geom. 19 (1984), 403–430.

    MathSciNet  Google Scholar 

  11. D. Mumford, An algebro-geometric construction of commuting operators and of solutions to the Toda lattice, etc.,Proc. Symp. Alg. Geom. Kyoto 1977, 115–153.

  12. D. Mumford, Tata Lectures on theta II, Birkhäuser, Boston 1984.

    MATH  Google Scholar 

  13. E. Previato, Flows onr-gonal Jacobians, to appear in the AMS series: Contemporary Mathematics, Proceedings of the Kovalevsky Symposium.

  14. I. Schur, Über vertauschbare lineare Differential-ausdrücke,Ges. Abh. I, Springer-Verlag (1973), 170–176.

  15. G. Wilson, Algebraic curves and soliton equations, inGeometry Today, editors E. Arbarelloet al., Birkhäuser, Boston, 1985, pp. 303–329.

    Google Scholar 

Download references

Author information

Author notes

  1. Emma Previato

    Present address: Mathematics Dept., Boston University, 02215, Boston, MA

Authors and Affiliations

  1. Mittag-Leffler Institute, S-18262, Djursholm, Sweden

    Emma Previato

Authors
  1. Emma Previato
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Previato, E. Generalized Weierstrassp-functions and KP flows in affine spaceand KP flows in affine space. Commentarii Mathematici Helvetici 62, 292–310 (1987). https://doi.org/10.1007/BF02564449

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02564449

Keywords

Search

Navigation