Stability Functions
Daniel Burns, Victor Guillemin, Zuoqin Wang
TL;DR
This paper explores stability functions in geometric invariant theory and demonstrates their application to toric geometry, recovering key asymptotic results for holomorphic line bundle sections.
Contribution
It introduces stability function techniques to analyze toric geometry problems, providing a new approach to existing asymptotic results.
Findings
Recovered results of Burns-Guillemin-Uribe and Shiffman-Tate-Zelditch on asymptotics
Applied stability functions to problems in toric geometry
Enhanced understanding of holomorphic line bundle sections
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.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Polynomial and algebraic computation