@article{CM_1992__81_1_107_0, author = {Previato, Emma and Wilson, George}, title = {Differential operators and rank $2$ bundles over elliptic curves}, journal = {Compositio Mathematica}, pages = {107--119}, publisher = {Kluwer Academic Publishers}, volume = {81}, number = {1}, year = {1992}, mrnumber = {1145609}, zbl = {0758.47038}, language = {en}, url = {http://www.numdam.org/item/CM_1992__81_1_107_0/} }
TY - JOUR AU - Previato, Emma AU - Wilson, George TI - Differential operators and rank $2$ bundles over elliptic curves JO - Compositio Mathematica PY - 1992 SP - 107 EP - 119 VL - 81 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1992__81_1_107_0/ LA - en ID - CM_1992__81_1_107_0 ER -
Previato, Emma; Wilson, George. Differential operators and rank $2$ bundles over elliptic curves. Compositio Mathematica, Tome 81 (1992) no. 1, pp. 107-119. http://www.numdam.org/item/CM_1992__81_1_107_0/
[1] Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957), 414-452. | MR | Zbl
:[2] Note on the foregoing paper 'Commutative ordinary differential operators', by J.L. Burchnall and T.W. Chaundy, Proc. Royal Soc. London (A) 118 (1928), 584-593. | JFM
:[3] Commutative ordinary differential operators, Proc. London Math. Soc. 21 (1923), 420-440;(b) Commutative ordinary differential operators, Proc. Royal Soc. London (A) 118 (1928), 557-583;(c) Commutative ordinary differential operators. II, Proc. Royal Soc. London (A) 134 (1932), 471-485. | JFM | Zbl
and :(a)[4] Opérateurs différentiels et courbes elliptiques, Comp. Math. 43 (1981), 71-99. | Numdam | MR | Zbl
:[5] On commutative subrings of certain non-commutative rings, Funct. Anal. Appl. 11(1) (1977), 11-14 (Russian), 9-12 (English). | MR | Zbl
:[6] Rational solutions for the equation of commutation of differential operators, Funct. Anal. Appl. 16(1) (1982), 19-24 (Russian), 15-19 (English). | MR | Zbl
:[7] Commuting pairs of linear ordinary differential operators of orders four and six, Physica D 31 (1988), 424-433. | MR | Zbl
:[8] Ordinary Differential Equations, Longmans Green and Co., London (1926). | JFM
:[9] Integration of nonlinear equations by methods of algebraic geometry, Funct. Anal. Appl. 11(1) (1977), 15-31 (Russian), 12-26 (English). | MR | Zbl
:[10] Commutative rings of ordinary differential operators, Funct. Anal. Appl. 12(3) (1978), 20-31 (Russian), 175-185 (English). | MR | Zbl
:[11] Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili (KP) equation, Funct. Anal. Appl. 12(4) (1978), 41-52 (Russian), 276-286 (English). | MR | Zbl
and :[12] Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2, Dokl. Akad. Nauk SSSR 247 (1979), 33-37; Soviet Math. Doklady 20 (1979), 650-654. | MR | Zbl
and :[13] PhD thesis, Berkeley (1989).
:[14] An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg-de Vries equation and related nonlinear equations, Proc. Int. Symp. on Algebraic Geometry, M. Nagata (ed.), Kinokuniya Book Store, Tokyo (1978). | MR | Zbl
:[15] Vector bundles over curves and solutions of the KP equations, Proc. Symp. Pure Math. 49 (1989) I, 553-569. | MR | Zbl
and :[16] Loop groups and equations of KdV type, 'Publ. Math. Inst. Hautes Études Sci. 61 (1985), 5-65. | Numdam | MR | Zbl
and :[17] Équations différentielles algébriques, Séminaire Bourbaki 1977-78, Exposé 512 = Lecture Notes in Math. 710, 101-122. | Numdam | MR | Zbl
:[18] Algebraic curves and soliton equations, in Geometry Today, E. Arbarello, C. Procesi and E. Strickland (eds), Birkhaüser, Boston-Basel- Stuttgart (1985), pp. 303-329. | MR | Zbl
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