On some questions related to the Krichever correspondence

Denis Ossipov, Alexander Zheglov

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976)

MSC 2000

47G30 Pseudodifferential operators
14M99 None of the above, but in this section
14F05 Vector bundles, sheaves, related constructions

The article is devoted to some questions of Krichever correspondence for algebraic curves and surfaces. We construct new examples of subspaces of 2-dimensional local field from Krichever correspondence for algebraic surface, we give some characterisation of stabilizer ring for possible images of 2-dimensional Krichever correspondence, we investigate the Mulase map of Sato grassmanian to infinite-dimensional affine space, we obtain new-equations of KP-type from 2-dimensional local skew fields.

Keywords:pseudodifferential operators, algebraic surface, Sato Grassmanian