Mathematics colloquium, May 13:th: Elizabeth Wulcan
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Aron Lagerberg
May 8, 2013, 10:51:31 AM5/8/13
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Speaker: Elizabeth Wulcan (Chalmers University of Technology and University of Gothenburg)
Date and time: Monday, May 13:th, 15.00
Place: VRII, room 157
Title: Green functions and Segre numbers
Abstract:
This talk is based on a joint work with Mats Andersson. We give meaning to (higher) Monge-Amp\`ere masses $(dd^c G)^k$ of Rashkovskii-Sigurdsson's Green function $G$ with poles along an ideal sheaf $\a$ (also for $k$ larger than the codimension of $\a$). We show that the Lelong numbers of $\mathbf 1_Z (dd^c G)^k$, where $Z$ is the variety of $\a$, are the so-called Segre numbers of $\a$. This result generalizes the well-known fact that if $Z$ is a point, the top Monge-Amp\`ere mass is just a point mass with mass equal to the Hilbert-Samuel multiplicity of $\a$.
Date and time: Monday, May 13:th, 15.00
Place: VRII, room 157
Title: Green functions and Segre numbers
Abstract:
This talk is based on a joint work with Mats Andersson. We give meaning to (higher) Monge-Amp\`ere masses $(dd^c G)^k$ of Rashkovskii-Sigurdsson's Green function $G$ with poles along an ideal sheaf $\a$ (also for $k$ larger than the codimension of $\a$). We show that the Lelong numbers of $\mathbf 1_Z (dd^c G)^k$, where $Z$ is the variety of $\a$, are the so-called Segre numbers of $\a$. This result generalizes the well-known fact that if $Z$ is a point, the top Monge-Amp\`ere mass is just a point mass with mass equal to the Hilbert-Samuel multiplicity of $\a$.
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