Stability functions. (English) Zbl 1186.53101
Author’s abstract: Summary. The authors discuss the role of stability functions in geometric invariant theory and apply stability function techniques to problems in toric geometry. In particular the authors show how these techniques can be used to recover results of Burns-Guillemin-Uribe and Shiffman-Tate-Zelditch on asymptotic properties of sections of holomorphic line bundles over toric varieties.
Reviewer: Benjamin Cahen (Metz)
MSC:
| 53D50 | Geometric quantization |
| 53D20 | Momentum maps; symplectic reduction |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
Keywords:
Kähler reduction; symplectic reduction; Bohr-Sommerfeld; half-form corrections; distribution laws; spectral measures; toric varieties; spherical varieties; quiver varietiesReferences:
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