@incollection{SB_1977-1978__20__101_0,
author = {Verdier, Jean-Louis},
title = {\'Equations diff\'erentielles alg\'ebriques},
booktitle = {S\'eminaire Bourbaki : vol. 1977/78, expos\'es 507-524},
series = {S\'eminaire Bourbaki},
note = {talk:512},
pages = {101--122},
year = {1979},
publisher = {Springer-Verlag},
address = {Berlin/Heidelberg},
number = {20},
mrnumber = {554217},
zbl = {0414.14012},
language = {fr},
url = {https://www.numdam.org/item/SB_1977-1978__20__101_0/}
}
TY - CHAP AU - Verdier, Jean-Louis TI - Équations différentielles algébriques BT - Séminaire Bourbaki : vol. 1977/78, exposés 507-524 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:512 PY - 1979 SP - 101 EP - 122 IS - 20 PB - Springer-Verlag PP - Berlin/Heidelberg UR - https://www.numdam.org/item/SB_1977-1978__20__101_0/ LA - fr ID - SB_1977-1978__20__101_0 ER -
%0 Book Section %A Verdier, Jean-Louis %T Équations différentielles algébriques %B Séminaire Bourbaki : vol. 1977/78, exposés 507-524 %A Collectif %S Séminaire Bourbaki %Z talk:512 %D 1979 %P 101-122 %N 20 %I Springer-Verlag %C Berlin/Heidelberg %U https://www.numdam.org/item/SB_1977-1978__20__101_0/ %G fr %F SB_1977-1978__20__101_0
Verdier, Jean-Louis. Équations différentielles algébriques, dans Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Exposé no. 512, 22 p.. https://www.numdam.org/item/SB_1977-1978__20__101_0/
[1] , , - The Schrödinger equation in a periodic field and Riemann surfaces, Dokl. Akad. Nauk SSSR, tome 229 (1976), n°1. Translation Soviet Math. Dokl., vol. 17 (1976), n° 4. | Zbl | MR
[2] , , - Non linear equations of Korteweg-de Vries type, finite zone linear operators, and abelian varieties, Russian Math. Survey, 31:1 (1976), 59-146 from Uspekhi Mat. Nauk, 31:1 (1976), 55-136. | Zbl | MR
[3] , - Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg -de Vries equations, Russian Math. Survey, 30:5 (1975), 77-113 from Uspekhi Mat. Nauk, 30:5 (1975), 67-100. | Zbl | MR
[4] , - Fractional powers of operators and Hamiltonian systems, Fonct. Anal. and its Appl., vol. 10, n° 4, oct.-déc. 1976, Transl. April 1977. | Zbl | MR
[5] - Algebraic-geometric construction of the Zaharov-Sabat equations and their periodic solutions, Dokl. Akad. Nauk SSSR, tome 227 (1976), n°2. Translation Soviet Math. Dokl., vol. 17 (1976), n° 2, 394-397. | Zbl | MR
[6] - Algebraic curves and commuting matricial differential operators, Fonct. Anal. and it Appl., vol. 10, n° 2, April-June 1976. | Zbl | MR
[7] - Aspects algébriques de la théorie des équations différentielles, Itogi Nauki, à paraître.
[8] - Abelian functions and solitons, Instytut Fizyki Teoretycznej, Preprint n° 373, Wroclaw, June 1976.
[9] , - Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, Comm. Pure and Appl. Math., 29 (1976), 143-226. | Zbl | MR
[10] , - The spectrum of Hill's equation, Inventiones Math., 30 (1975), 217-274. | Zbl | MR
[11] - An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg - de Vries equation and related non linear equations, Proceedings of the Kyoto conference on algebraic geometry, Jan. 1978, à paraître. | Zbl
[12] - Periodic problem for the Korteweg-de Vries equation I, Funktsional'. Analiz i Ego Prilozhen, 9, n° 1, (1975), 65-66. Translation in Funct. Anal., Jan. 1975, 236-246. | Zbl
[13] and - Commutative Ordinary differential operators, Proc. London Math. Soc. ser. 2, vol. 21, p. 420-440, (1922). | JFM
- Commutative Ordinary differential operators, Proc. Roy. Soc. A, vol. 118, p. 557-583, (1928).
- Commutative Ordinary Differential operators II - The Identity Pn = Qm , Proc. Roy. Soc. A, vol. 134, p. 471- 485, (1931).
, F.R.S. - Note on the Foregoing paper, "Commutative Ordinary Differential Operators", by J.-L. BURCHNALL and J. W. CHAUNDY, Proc. Roy. Soc. A, vol. 118, p. 584-593, (1928). | JFM






