On the Picard group: torsion and the kernel

Robert Guralnick, David Jaffe, Wayne Raskind +1

For a homomorphism f: A --> B of commutative rings, let D(A,B) denote Ker[Pic(A) --> Pic(B)]. Let k be a field and assume that A is a f.g. k-algebra. We prove a number of finitenes…