Several Complex Variables

Date:  Monday, February 04, 2013
Location:  3096 East Hall (4:00 PM to 5:00 PM)

Title:  Green functions and Segre numbers

Abstract:   This talk is based on a joint work with Mats Andersson and Pascal Thomas. We give meaning to (higher) Monge-Ampere masses (dd^c G)^k of Rashkovskii-Sigurdsson's Green function G with poles along an ideal sheaf I (also for k larger than the codimension of I). We show that the Lelong numbers of 1_Z (dd^c G)^k, where Z is the variety of I, are the so-called Segre numbers of I. This result generalizes the well-known fact that if Z is a point, the top Monge-Ampere mass is just a point mass with mass equal to the Hilbert-Samuel multiplicity of I.


Speaker:  Elizabeth Wulcan
Institution:  U Gothenburg/Chalmers

Event Organizer:   Mattias Jonsson   

 

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