Abstract
This chapter presents the relationship between the divisor class group and the fundamental group of a nonsingular affine surface. It presents an assumption wherein S is a nonsingular, quasi-projective surface defined over C, S is connected at infinity, the divisor at infinity for S does not have negative definite intersection form, and the fundamental group at infinity of S is finite. Then, ▪(S) = −∞. The hypothesis is satisfied if S is affine and has finite fundamental group at infinity.
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