A Note on Geometric Factoriality
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 390-395

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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.
DOI : 10.4153/CMB-1995-057-0
Mots-clés : 13F20, 14M05, 20C05
Bhatwadekar, S. M.; Russell, K. P. A Note on Geometric Factoriality. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 390-395. doi: 10.4153/CMB-1995-057-0
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