ABSTRACT
Let E be a subset of D. We consider the ring of integer-valued polynomials on E with respect to D, that is,
We are interested here in the description of the Picard group of the integral domain Int(E,D):
Pic(IntCE,D)) = J(Iat(E,D))/P(Iat(E,D)). Note that, for every domain D and every subset E of D, one has:
P(Iut(E,D))~K(X)*/Dx. There are two steps in this study:
— to what extent can we reduce the global study to a local study? — in the local case, can we describe Pic(Int(E, £))) by generators and relations?
