Stability Functions
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Guillemin_Stability functions.pdf
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365.86 KB
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481a59bbb5d18b79a3ae4dab8b21eb01
Author(s) • •
Burns, Daniel
Wang, Zuoqin
Guillemin, Victor W.
Date Issued
December 2009
Journal
Geometric and Functional Analysis
Publisher
Springer-Verlag
Citation
Burns, Daniel, Victor Guillemin, and Zuoqin Wang. “Stability Functions.” Geometric and Functional Analysis 19, no. 5 (February 8, 2010): 1258-1295.
Version
Author's final manuscript
Abstract
In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to various types of asymptotic problems in the Kahler geometry of GIT quotients. We discuss several particular classes of examples, namely, toric varieties, spherical varieties and the symplectic version of quiver varieties.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00039-009-0035-1