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A Note on Geometric Factoriality

Published online by Cambridge University Press:  20 November 2018

S. M. Bhatwadekar  and
K. P. Russell
S. M. Bhatwadekar
Affiliation:
Tata Institute of Fundamental Research, Bombay, India
K. P. Russell
Affiliation:
Department of Mathematics and Statistics and CICMA, McGill University, Montreal, Quebec
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Abstract

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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.

Keywords

13F2014M0520C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 390 - 395
Copyright
Copyright © Canadian Mathematical Society 1995

References

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