Defect Relations on Semi-Abelian Varieties

摘要

Regardless of whether the authors choose an analytic or arithmetic falvour theycan measure the degree of a map f to varieties with respect to (metricised) divisors whether the map be holomorphic from the affine line A(sup 1) or a S point of some scheme. As is well known the main difference between such an intersection theory and a classical one is that there arises so called proximity functions, which so to speak complete the intersection theory over the boundary, i.e. the usual boundary of a disc in the analytic case, or the set of places