# Differential operators and rank $2$ bundles over elliptic curves

Compositio Mathematica (1992)

- Volume: 81, Issue: 1, page 107-119
- ISSN: 0010-437X

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topPreviato, Emma, and Wilson, George. "Differential operators and rank $2$ bundles over elliptic curves." Compositio Mathematica 81.1 (1992): 107-119. <http://eudml.org/doc/90129>.

@article{Previato1992,

author = {Previato, Emma, Wilson, George},

journal = {Compositio Mathematica},

keywords = {commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles},

language = {eng},

number = {1},

pages = {107-119},

publisher = {Kluwer Academic Publishers},

title = {Differential operators and rank $2$ bundles over elliptic curves},

url = {http://eudml.org/doc/90129},

volume = {81},

year = {1992},

}

TY - JOUR

AU - Previato, Emma

AU - Wilson, George

TI - Differential operators and rank $2$ bundles over elliptic curves

JO - Compositio Mathematica

PY - 1992

PB - Kluwer Academic Publishers

VL - 81

IS - 1

SP - 107

EP - 119

LA - eng

KW - commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles

UR - http://eudml.org/doc/90129

ER -

## References

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- [2] H.F. Baker: 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. JFM54.0439.02
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- [11] I.M. Krichever and S.P. Novikov: Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili (KP) equation, Funct. Anal. Appl.12(4) (1978), 41-52 (Russian), 276-286 (English). Zbl0404.35082MR515628
- [12] I.M. Krichever and S.P. Novikov: Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2, Dokl. Akad. Nauk SSSR247 (1979), 33-37; Soviet Math. Doklady20 (1979), 650-654. Zbl0434.35078MR545939
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- [15] E. Previato and G. Wilson: Vector bundles over curves and solutions of the KP equations, Proc. Symp. Pure Math.49 (1989) I, 553-569. Zbl0697.35128MR1013152
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