Resumen de Correspondencias divisoriales entre esquemas relativos
Let X Y be schemes over S . The divisorial correspondences between X, Y are define to be the linear equivalence classes of divisors on Xx S Y modulo the inverse images of the divisors on each factor . The main result is that the divisorial correspondences are a scheme over S whose geometric fíbres are finitely generated abelian groups . A metríc tensor on the divisorial correspondences is also given generalizíng the trace metríc for correspondences on curves, and it verifies a Castelnuovo inequality saying that ít is positive definite modulo torsion.
