Journals / International Electronic Journal of Geometry / 2008 / Cilt: 1 - Sayı: 2

Affine parts of Abelian surfaces as complete intersection of three quartics

Pages
15–32
Publication Date
2008-11-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
🔖

Cite This Article

LESFARİ, A. (2008). Affine parts of Abelian surfaces as complete intersection of three quartics. International Electronic Journal of Geometry, Cilt: 1 - Sayı: 2, 15–32. https://ajindex.com/articles/672278

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. Abenda, S. and Fedorov, Yu., On the weak Kowalewski-Painleve Property for hyperelliptically separable systems, Acta Appl. Math., 60(2000) 137-178
  2. Adler, M. and van Moerbeke, A., The complex geometry of the Kowalewski-Painleve analysis, Invent. Math., 97(1989) 3-51
  3. Baker, S., Enolskii, V.Z. and Fordy, A.P., Integrable quartic potentials and coupled KdV equations, Phys. Lett., 201A(1995) 167-174
  4. Belokolos, A.I., Bobenko, V.Z., Enol'skii, V.Z., Its, A.R. and Matveev. V.B., Algebro- Geometric approach to nonlinear integrable equations, Springer-Verlag 1994
  5. Christiansen, P. L., Eilbeck, J. C., Enolskii, V. Z. and Kostov, N. A., Quasi-periodic and periodic solutions for coupled nonlinear Schrdinger equations of Manakov type, Proc. R. Soc., A 456(2000) 2263-2281
  6. Conte, R., Musette, M. and Verhoeven, C., Completeness of the cubic and quartic Henon- Heiles hamiltonians, Theor. Math. Phys., 144(2005) 888-898
  7. Eilbeck, J.C., Enolskii, V.Z., Kuznetsov, V.B. and Leykin, D.V., Linear r-matrix algebra for systems separable in parabolic coordinates, Phys. Lett., 180A(1993) 208-214
  8. Grammaticos, B. Dorozzi, B., Ramani, A., Integrability of hamiltonians with third and fourth- degree polynomial potentials, J. Math. Phys., 24(1983) 2289-2295
  9. Griffiths, P.A. and Harris, J., Principles of algebraic geometry, Wiley-Interscience 1978
  10. Haine, L., Geodesic flow on SO(4) and Abelian surfaces. Math. Ann., 263(1983) 435-472
  11. Hietarinta, J., Classical versus quantum integrability. J. Math. Phys., 25(1984) 1833-1840
  12. Hietarinta, J., Direct methods for the search of the second invariant. Phys. Rep., 147(1987) 87-154
  13. Kasperczuk, S., Integrability of the Yang-Mills hamiltonian system, Celes. Mech. and Dyn. Astr., 58(1994), 387-391. Erratum Celes. Mech. and Dyn. Astr., 60(1994), 289
  14. Kostov, N.A., Quasi-periodical solutions of the integrable dynamical systems related to Hill's equation. Lett. Math. Phys., 17(1989) 95-104
  15. Lesfari, A., Abelian surfaces and Kowalewski's top, Ann. Scient. Ecole Norm. Sup. Paris, 21(1988), sr. 4, 193-223
  16. Lesfari., A., Completely integrable systems: Jacobi's heritage, J. Geom. Phys., 31(1999) 265-286
  17. Lesfari, A., Le systeme differentiel de Henon-Heiles et les varietes Prym, Pacific J. Math., 212(2003), N1, 125-132
  18. Lesfari, A., Le theoreme d'Arnold-Liouville et ses consequences, Elem. Math., 58 (2003) 6-20
  19. Lesfari, A., Analyse des singularites de quelques systµemes i