Mixed multiplicities of graded families of ideals

Abstract: We show the existence (and define) the mixed multiplicities of arbitrary graded families of ideals under mild assumptions. In particular, our methods and results are valid for the case of arbitrary m-primary graded families. Furthermore, we provide a “Volume = Multiplicity formula” for the mixed multiplicities of graded families of ideals. This is joint work with Yairon Cid-Ruiz.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home