On some questions related to the Krichever correspondence

Abstract

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.