A comparison formula for residue currents

• Richard Lärkäng ^[1]
  1. [1] University of Gothenburg

     University of Gothenburg

     Suecia

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 1, 2019, págs. 39-66
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Given two ideals I and J of holomorphic functions such that I⊆J, we describe a comparison formula relating the Andersson-Wulcan currents of I and J. More generally, this comparison formula holds for residue currents associated to two generically exact Hermitian complexes together with a morphism between the complexes.

    One application of the comparison formula is a generalization of the transformation law for Coleff-Herrera products to Andersson-Wulcan currents of Cohen-Macaulay ideals. We also use it to give an analytic proof by means of residue currents of theorems of Hickel, Vasconcelos and Wiebe related to the Jacobian ideal of a holomorphic mapping.