On a relative version of the Krichever correspondence
alg-geom
2008-02-03 v2 Algebraic Geometry
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 -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.
Keywords
Cite
@article{arxiv.alg-geom/9606015,
title = {On a relative version of the Krichever correspondence},
author = {Ines Quandt},
journal= {arXiv preprint arXiv:alg-geom/9606015},
year = {2008}
}
Comments
59 pages LaTeX with inputs of AMSTeX; In addition to some corrections the main change consists in the extension of the Krichever correspondence to all locally noetherian base schemes