Denis Ossipov, Alexander Zheglov
Preprint series: Institut für Mathematik, Humboldt-Universität
zu Berlin (ISSN 0863-0976)
MSC 2000
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47G30 Pseudodifferential operators
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14M99 None of the above, but in this section
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14F05 Vector bundles, sheaves, related constructions
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.
Keywords:pseudodifferential
operators, algebraic surface, Sato Grassmanian