Stability Functions

• Main Authors: Burns, Daniel (Author), Wang, Zuoqin (Contributor), Guillemin, Victor W. (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: Springer-Verlag, 2013-09-20T16:53:11Z.
• Subjects: Article
• Online Access: Get fulltext

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.
National Science Foundation (U.S.) (Grant DMS-0408993)