Correspondencias divisoriales entre esquemas relativos

• Hernández Ruipérez, Daniel ^[1]
  1. [1] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 20, 1980, págs. 249-253
• Idioma: español
• DOI: 10.5565/publmat_20180_53
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• Resumen

  • 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.