THE D-RESULTANT, SINGULARITIES AND THE DEGREE OF UNFAITHFULNESS

Authors
VANDENESSEN A YU JT
Citation
A. Vandenessen et Jt. Yu, THE D-RESULTANT, SINGULARITIES AND THE DEGREE OF UNFAITHFULNESS, Proceedings of the American Mathematical Society, 125(3), 1997, pp. 689-695
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
3
Year of publication
1997
Pages
689 - 695
Database
ISI
SICI code
0002-9939(1997)125:3<689:TDSATD>2.0.ZU;2-1
Abstract
We introduce the D-resultant of two polynomials in one variable and sh ow 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.