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math.AG2009
On the Abelian Fundamental Group Scheme of a Family of Varities
Marco Antei
Let be a connected Dedekind scheme and an -scheme provided with a section . We prove that the morphism of fundamental group schemes $π_1(X,x)^{ab}\to π_1(\mathbf{Alb}…
math.AG2009
Galois Closure of Essentially Finite Morphisms
Marco Antei, Michel Emsalem
Let be a reduced connected -scheme pointed at a rational point . By using tannakian techniques we construct the Galois closure of an essentially finite -morph…