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.