Реализация алгоритма построения коммутирующих дифференциальных операторов по геометрическим данным (526733), страница 4

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. .i.Ñîïðÿãàþùèé îïåðàòîð:S =1−5x3x4−1∂+5∂ −2 .x5 + 30x5 + 30Êîììóòèðóþùèå îïåðàòîðû:P4 = ∂ 4 −20x3 (x5 − 120) 2x2 (7x5 − 90)x(3x10 − 145x5 + 450)∂−3000∂+18000(x5 + 30)2(x5 + 30)3(x5 + 30)4x3 (x5 − 120) 4x2 (x10 − 1065x5 + 12150 3P6 = ∂ − 30∂ + 60∂ +(x5 + 30)2(x5 + 30)36x(59x10 − 2535x5 + 5850 29000∂ −(x5 + 30)41800090000128x15 − 13755x10 + 145350x5 − 54000∂+(x5 + 30)5x4 (49x15 − 10515x10 + 283050x5 − 972000)(x5 + 30)6Ñïèñîê ëèòåðàòóðûThe Jacobian conjecture is stablyequivalent to the Dixmier conjecture, Mosc. Math.

J. 7 (2007), no. 2,[1] Belov-Kanel A., Kontsevich M.,209218, 349.Semistable sheaves on Weierstrass cubics andcommuting dierential operators, preprint, to appear[3] Burchnall J.L., Chaundy T.W., Commutative ordinary dierentialoperators, Proc. London Math. Soc. Ser. 2, (1923) 420-440; Proc.[2] Burban I., Zheglov A.,21Royal Soc.

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Geom., Kyoto 1977, Kinokuniya Publ. (1978) 115-153.Dierential operators and rank 2 bundles overelliptic curves[23] Wilson G., Bispectral commutative ordinary dierential operators, J.[22] Previato E., Wilson G.,, Comp. Math. 81 (1992), 107-119.reine angew.

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