Homotopy Sequence for Fundamental Groups

Zhang, Lei

In SGA 1, A.Grothendieck developped the notion of etale fundamental group which is a generalization of the Galois group. And he further studied the homotopy sequence associated to a fibration of schemes. In this thesis we study the corresponding homotopy sequence for two generalizations of the etale fundamental group--- the Nori's fundamental group and the algebraic fundamental group.

In SGA 1, A.Grothendieck developped the notion of etale fundamental group which is a generalization of the Galois group. And he further studied the homotopy sequence associated to a fibration of schemes. In this thesis we study the corresponding homotopy sequence for two generalizations of the etale fundamental group--- the Nori's fundamental group and the algebraic fundamental group.

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Zhang, Lei: Homotopy Sequence for Fundamental Groups. 2013.

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