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On a relative version of the Krichever correspondence

Ines Quandt
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Abstract

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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Ines Quandt. 1997-04-01. On a relative version of the Krichever correspondence. https://arxiv.org/abs/alg-geom/9606015

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