A ring of commuting differential operators of rank 2 corresponding to
Sbornik. Mathematics, Tome 195 (2004) no. 5, pp. 711-722 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method for the construction of commuting ordinary differential linear operators of rank 2 corresponding to a curve of genus 2 is put forward and an example of such operators with polynomial coefficients is indicated.
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A. E. Mironov. A ring of commuting differential operators of rank 2 corresponding to. Sbornik. Mathematics, Tome 195 (2004) no. 5, pp. 711-722. http://geodesic.mathdoc.fr/item/SM_2004_195_5_a4/

[1] Burchnall J. L., Chaundy I. W., “Commutative ordinary differential operators”, Proc. London Math. Soc. Ser. 2, 21 (1923), 420–440 | DOI | Zbl

[2] Burchnall J. L., Chaundy I. W., “Commutative ordinary differential operators”, Proc. Royal Soc. London Ser. A, 118 (1928), 557–583 | DOI | Zbl

[3] Burchnall J. L., Chaundy I. W., “Commutative ordinary differential operators”, Proc. Royal Soc. London Ser. A, 134 (1931), 471–485 | DOI | Zbl

[4] Krichever I. M., “Integrirovanie nelineinykh uravnenii metodami algebraicheskoi geometrii”, Funkts. analiz i ego prilozh., 11:1 (1977), 15–31 | MR | Zbl

[5] Krichever I. M., “Kommutativnye koltsa lineinykh obyknovennykh differentsialnykh operatorov”, Funkts. analiz i ego prilozh., 12:4 (1978), 41–52 | MR | Zbl

[6] Krichever I. M., Novikov S. P., “Golomorfnye rassloeniya nad rimanovymi poverkhnostyami i uravnenie Kadomtseva–Petviashvili. I”, Funkts. analiz i ego prilozh., 12:4 (1978), 41–52 | MR | Zbl

[7] Krichever I. M., Novikov S. P., “Golomorfnye rassloeniya nad algebraicheskimi krivymi i nelineinye uravneniya”, UMN, 35:6 (1980), 47–68 | MR | Zbl

[8] Mokhov O. I., “Kommutiruyuschie differentsialnye operatory ranga 3 i nelineinye uravneniya”, Izv. AN SSSR. Ser. matem., 53:6 (1989), 1291–1315 | MR | Zbl

[9] Dehornoy P., “Operateurs differentiels et courbes elliptiques”, Compositio Math., 43:1 (1981), 71–99 | MR | Zbl

[10] Novikov S. P., Grinevich P. G., “O spektralnoi teorii kommutiruyuschikh operatorov ranga 2 s periodicheskimi koeffitsientami”, Funkts. analiz i ego prilozh., 16:1 (1982), 25–26 | MR | Zbl

[11] Novikov S. P., “Kommutiruyuschie operatory ranga $l>1$ s periodicheskimi koeffitsientami”, Dokl. AN SSSR, 263:6 (1982), 1311–1313 | MR

[12] Diksme Zh., “Ob algebrakh Veilya”, Matematika, 13:4 (1969), 16–44 | MR

[13] Grinevich P. G., “Ratsionalnye resheniya uravnenii kommutatsii differentsialnykh operatorov”, Funkts. analiz i ego prilozh., 16:1 (1982), 19–24 | MR | Zbl