The faithfulness of the monodromy representations associated with certain families of algebraic curves

Asada, Mamoru

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Publication date

May 2001

DOI

10.1016/S0022-4049(00)00056-6

Publisher

Elsevier Science B.V.

Abstract

AbstractWe consider the faithfulness of the monodromy representation associated with the universal family of n-pointed algebraic curves of genus g (2−2g−n<0). We shall show that the restriction ρg,n of the representation to the geometric fundamental group is faithful for g=0,1. We shall also show that if ρg,n is faithful, then so is ρg,n+1

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The faithfulness of the monodromy representations associated with certain families of algebraic curves

Abstract

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The faithfulness of the monodromy representations associated with certain families of algebraic curves

Abstract

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