RATIONAL POINTS OF UNIVERSAL CURVES

摘要

Associated to a smooth, projective, geometrically connected curve C over a field K is the short exact sequence 1→ π_1 (C ×k K,η) →π_1 (C, η)→G_K→1 of etale fundamental groups, where K is a separable closure of K, GK = Gal(K/K) and where η is a geometric point of C. Each K-rational point x of C induces.