Abstract. In this paper, we show how to extend the holomorphic connection induced by a scalar Fuchsian equation on an open subset of the projective line as a logarithmic connection on the projective line in such a way that the eigenvalues of the residue of the integrable connection in a logarithmic point agree with the exponents of the equation.

AMS Subject Classification (1991): 14H60, 34M50

Received October 15, 2007. (Registered under 34/2007.)