  In 70's there was discovered a construction how to attach to some
algebraic-geometric data an infinite-dimensional subspace in the space k((z))
of the Laurent power series. Now this construction is called the Krichever map.
In e-print math.AG/9911097 A.N. Parshin suggested a generalization of the
Krichever map for the case of algebraic surfaces from the point of view of
2-dimensional local fields.
  In this work we suggest a generalization of the Krichever map to the case of
algebraic varieties of arbitrary dimension from the point of view of
multidimensional local fields. For surfaces our construction coincides with the
Parshin construction.
  Besides, we obtain new explicit acyclic resolutions of quasicoherent sheaves
connected with multidimensional local fields.
