Homogeneous Cyclotomic Polynomials and Rationality of Curves

Abstract

Let k be a field of arbitrary characteristic. Suppose that f1, . . . , fn are polynomials in k[t] and di = deg(fi). We prove that, if gcd of d1, . . . , dn is 1, then k(f1, . . . , fn) = f(t), or equivalently, the morphism ψ = (f1, . . . , fn) : Ak → A n k is proper and birational onto its image. By combining this result with the epimorphism theorem of… (More)

Topics

Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.