Showing papers on "Toric variety published in 1972"

On algebraic varieties whose universal covering manifolds are complex affine 3-spaces

Abstract: CONJECTURE Un. Suppose that F is a complex affine «-space. Then there exists an abelian variety which is a finite unramified covering manifold of V. This has been solved only for n = 1,2. We note that the proof for n = 2 requires a detailed study of the classification of algebraic surfaces. In his thesis [3], the author introduced the notion of Kodaira dimension K(V) of algebraic varieties V and by using it he intends to extend the classification theory into higher dimensional case (see [5]). In this note, he shall give a sketchy proof of the following partial solution of C/3.