AN EFFECTIVE VERSION OF CHEVALLEY-WEIL THEOREM FOR PROJECTIVE PLANE CURVES

作者：Draziotis Konstantinos A^*; Poulakis Dimitrios

来源：Houston Journal of Mathematics, 2012, 38(1): 29-39.

• Chevalley-Weil Theorem
• Projective Curves
• Unramified map

We obtain a quantitative version of the classical Chevalley-Weil theorem for curves. Let phi : (C) over tilde -%26gt; C be an unramified morphism of non-singular plane projective curves defined over a number field K. We calculate an effective upper bound for the norm of the relative discriminant of the number field K(Q) over K for any point P is an element of C(K) and Q is an element of phi(-1)(P).

• 出版日期2012