Abstract
Let k be an algebraically closed field of characteristic zero and R a polynomial ring in n variables over k. A normal k-subalgebra S of R which is finitely generated over k is called cofinite if R is integral over S. It is one of the central problems in affine algebraic geometry to consider the structures of cofinite normal k-subalgebras of R. If n s 2, it is known Ž w x. 2 cf. 2 that Spec S is isomorphic to the quotient of the affine plane A k Ž . 2 modulo a finite subgroup G of GL 2, k acting linearly on A . In the case k n G 3, nothing essential is known. In the present article, we propose one concrete method to construct a k-subalgebra of R. w x For R s k x , . . . , x , we consider a rational vector field 1 n
Published Version
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