  We investigate various new properties and examples of one-dimensional and
two-dimensional Krichever correspondence developed by Parshin. In particular,
we give explicit examples of the Krichever-Parshin map for various plane
curves, we introduce analogs of the Schur pairs in a two-dimensional local
field and show that they are oft geometrical. At the end we investigate analogs
of the KP hierarchy for two-dimensional local skew-fields with arbitrary
commutation law instead of the usual law of Weyl algebra. We derive for these
hierarchies new partial differential equations, which coincide with the usual
KP equation for certain values of parameters.
