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.
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
@article{10_4153_CMB_1995_057_0,
author = {Bhatwadekar, S. M. and Russell, K. P.},
title = {A {Note} on {Geometric} {Factoriality}},
journal = {Canadian mathematical bulletin},
pages = {390--395},
year = {1995},
volume = {38},
number = {4},
doi = {10.4153/CMB-1995-057-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-057-0/}
}
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