Proceedings of the American Mathematical Society

Author(s): Arno van den Essen; Jie-Tai Yu
Journal: Proc. Amer. Math. Soc. 125 (1997), 689-695.
MSC (1991): Primary 13P99
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Abstract: We introduce the $D$

-resultant of two polynomials in one variable and show how it can be used to decide if $k(f(t),g(t))=k(t),k[f(t),g(t)]=k[t]$

and to find the singularities of the curve $x=f(t),y=g(t)$

. The second criterion is used to give a very short proof of a special case of the epimorphism theorem of Abhyankar and Moh.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 13P99

Arno van den Essen
Affiliation: Department of Mathematics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands
Email: essen@sci.kun.nl

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