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Compact quotient spaces of $\mathbf{C}^2$ by affine transformation groups

Compact quotient spaces of $\mathbf{C}^2$ by affine transformation groups

The purpose of this paper is to classify the compact complex surfaces of the form C 2 /G, where G is a properly discontinuous and fixed point free group of affine transformations of the two-dimensional complex vector space C 2 .Except for the use of some theorems on numerical characters …