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A Note on Geometric Factoriality
Published online by Cambridge University Press: 20 November 2018
Abstract
Let k: be a perfect field such that is solvable over k. We show that a smooth, affine, factorial surface birationally dominated by affine 2-space is geometrically factorial and hence isomorphic to . The result is useful in the study of subalgebras of polynomial algebras. The condition of solvability would be unnecessary if a question we pose on integral representations of finite groups has a positive answer.
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- Copyright © Canadian Mathematical Society 1995
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