Descendents on local curves: rationality
نویسندگان
چکیده
منابع مشابه
Homogeneous Cyclotomic Polynomials and Rationality of Curves
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 Abhyankar and Moh, we prove that, if f and...
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Article history: Received 26 April 2011 Revised 24 February 2012 Accepted 2 March 2012 Available online 6 March 2012 Communicated by Thomas Strohmer
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2012
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x12000498