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
|