@article{ASNSP_2000_4_29_2_351_0, author = {Piovan, Luis A. and Vanhaecke, Pol}, title = {Integrable systems and projective images of {Kummer} surfaces}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {351--392}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {2}, year = {2000}, mrnumber = {1784179}, zbl = {0980.14027}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2000_4_29_2_351_0/} }
TY - JOUR AU - Piovan, Luis A. AU - Vanhaecke, Pol TI - Integrable systems and projective images of Kummer surfaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 351 EP - 392 VL - 29 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2000_4_29_2_351_0/ LA - en ID - ASNSP_2000_4_29_2_351_0 ER -
%0 Journal Article %A Piovan, Luis A. %A Vanhaecke, Pol %T Integrable systems and projective images of Kummer surfaces %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 351-392 %V 29 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_2000_4_29_2_351_0/ %G en %F ASNSP_2000_4_29_2_351_0
Piovan, Luis A.; Vanhaecke, Pol. Integrable systems and projective images of Kummer surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 2, pp. 351-392. http://www.numdam.org/item/ASNSP_2000_4_29_2_351_0/
[1] Geodesic flow on SO(4) and the intersection of quadrics, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), Phys. Sci., 4613-4616. | MR | Zbl
- ,[2] The intersection of four quadrics in P6, Abelian surfaces and their moduli, Math. Ann. 279 (1987), 25-85. | MR | Zbl
- ,[3] The complex geometry of the Kowalewski-Painlevé analysis, Invent. Math. 97 (1989), 3-51. | MR | Zbl
- ,[4] Affine parts of Abelian surfaces as complete intersections of four quadrics, Math. Ann. 278 (1987), 117-131. | MR | Zbl
,[5] Compacts Complex Surfaces", Springer-Verlag, 1984. | MR | Zbl
- - , A., "[6] Projective images of Kummer surfaces, Math. Ann. 299 (1994), 155-170. | MR | Zbl
,[7] Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II, Bull. Soc. Math. France 119 (1991), 259-291. | Numdam | MR | Zbl
,[8] A. Complex Algebraic Surfaces", Second ed., London Mathematical Society Student Texts vol. 34, Cambridge University Press, Cambridge, 1996, Translated from the 1978 French original by , with assistance from and | MR | Zbl
, "[9] The even master system and generalized Kummer surfaces, Math. Proc. Cambridge Philos. Soc. 116 (1994), 131-142. | MR | Zbl
- ,[10] Principles of Algebraic Geometry ", Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. | MR | Zbl
- , J., "[11] Algebraic Geometry", Springer-Verlag, New York, 1977, Graduate Texts in Mathematics, No. 52. | MR | Zbl
, "[12] Kummer's Quartic Surface", Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990, With a foreword by , Revised reprint of the 1905 original. | MR | Zbl
, "[13] Poisson structures on certain moduli spaces for bundles on a surface, Ann. Inst. Fourier (Grenoble) 45 (1995), 65-91. | Numdam | MR | Zbl
,[14] A Treatise on the Line Complex", Chelsea Publishing Co., New York, 1969. | MR | Zbl
, "[15] On compact complex analytic surfaces. I, Ann. of Math. (2) 71 (1960), 111-152. | MR | Zbl
,[16] Complex Abelian Varieties", Grund. der Math. Wiss., vol. 302, Springer-Verlag, Berlin, 1992. | MR | Zbl
- , "[17] On the equations defining Abelian varieties. I, Invent. Math. 1 (1966), 287-354. | MR | Zbl
,[18] Tata Lectures on Theta. II", Progress in Mathematics, vol. 43, Birkhäuser Boston Inc., Boston, MA, 1984, Jacobian theta functions and differential equations, With the collaboration of , , , and | MR | Zbl
, "[19] Abelian Varieties", Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Oxford University Press Oxford, 1985. | MR | Zbl
, "[20] Moduli of vector bundles on a compact Riemann surface, Ann. of Math. (2) 89 (1969), 14-51. | MR | Zbl
- ,[21] Algebraically completely integrable systems and Kummer varieties, Math. Ann. 290 (1991), no. 2, 349-403. | MR | Zbl
, L.,[22] Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc. (N.S.) 36 (1972), 41-51. | MR | Zbl
,[23] Sur une famille dénombrable de surfaces hyperelliptiques du quatrième ordre, Bull. Soc. Math. France 35 (1907), 53-69. | JFM | Numdam | MR
,[24] Hessian quartic surfaces that are Kummer surfaces, math. AG/9903037.
,[25] Projective models of K - 3 surfaces, Amer. J. Math. 96 (1974), 602-639. | MR | Zbl
, B.,[26] Algebraic Surfaces", American Mathematical Society, 1967, Proceedings of the Steklov Institute of Mathematics, no. 75, 1965. | MR
, "[27] Intersection of Quadrics in P5, Kummer surfaces and their moduli, Friedrich-Alexander-Universität Erlangen- Nürnberg, 1994. | Zbl
,[28] Integrable Systems in the Realm of Algebraic Geometry", Lecture Notes in Mathematics, vol. 1638, Springer-Verlag Berlin, 1996. | MR | Zbl
, "