English

Stability Functions

Symplectic Geometry 2009-07-03 v2 Spectral Theory

Abstract

In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to problems in toric geometry. In particular we show how one can use these techniques to recover results of Burns-Guillemin-Uribe and Shiffman-Tate-Zelditch on asymptotic properties of sections of holomorphic line bundles over toric varieties.

Keywords

Cite

@article{arxiv.0804.3225,
  title  = {Stability Functions},
  author = {Daniel Burns and Victor Guillemin and Zuoqin Wang},
  journal= {arXiv preprint arXiv:0804.3225},
  year   = {2009}
}

Comments

45 pages. Accepted by Geometric And Functional Analysis

R2 v1 2026-06-21T10:32:56.668Z