On a relative version of the Krichever correspondence

Details On a relative version of the Krichever correspondence On a relative version of the Krichever correspondence

1996-06-21

arxiv.org/abs/alg-geom/9606015v2

Bayreuther Mathematische Schriften 52 (1997), p.1-74

Mathematics

Algebraic Geometry

59 pages LaTeX with inputs of AMSTeX; In addition to some corrections the main change consists in the extension of the Krichev

Scientific paper

For a given base scheme, a correspondence is established between a class of sheaves on curves over this base scheme and certain points of infinite Grassmannians. This equivalence extends to a characterization of commutative algebras of ordinary differential operators with coefficients in the ring of formal power series over a given $k$-algebra. Our construction generalizes the approach of M.Mulase, which gives the above connection in the case that the base scheme is one closed point.

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