KASS seminar

Abstract: This presentation begins with an introduction to mixed Segre numbers of pairs of  ideals which were introduced by R. Gassler. These numbers are a generalisation of B. Teissier's mixed multiplicities defined for pairs of 𝔪-primary ideals. Thereby, R. Gassler follows an approach from a work of him and T. Gaffney in which they define Segre number of an ideal (which is not necessarily 𝔪-primary).

After this introduction, we report on that mixed Segre numbers are also given as the Lelong numbers of a current given by Monge–Ampère products in terms of the generators of the ideals. This result is from an ongoing project joint with Richard Lärkäng and Elizabeth Wulcan.