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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Linear disjointness of polynomials


Author: Shreeram S. Abhyankar
Journal: Proc. Amer. Math. Soc. 116 (1992), 7-12
MSC: Primary 12F10; Secondary 14E22, 14H30
MathSciNet review: 1095218
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Abstract: It is shown that any two bivariate polynomials can be made linearly disjoint by applying a linear transformation to one of the variables in one of the polynomials. From this it is deduced that the algebraic fundamental group of an affine line is closed relative to direct products.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1095218-7
PII: S 0002-9939(1992)1095218-7
Article copyright: © Copyright 1992 American Mathematical Society