Some Degeneracy Theorems for Entire Functions with Values in an Algebraic Variety ( ' )

  title={Some Degeneracy Theorems for Entire Functions with Values in an Algebraic Variety ( ' )},
  author={James A. Carlson},
In the first part of this paper we prove the following extension theorem. Let P* be a g-dimensional punctured polycylinder, i.e. a product of disks and punctured disks. Let Wn be a compact complex manifold such that the bundle of holomorphic ç-forms is positive in the sense of Grauert. Let/: P* -+ Wn be a holomorphic map whose Jacobian determinant does not vanish identically. Then / extends as a rational map to the full polycylinder P„. In the second half of the paper we prove the following… CONTINUE READING


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