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arxiv: 0804.3225 · v2 · submitted 2008-04-21 · 🧮 math.SG · math.SP

Stability Functions

classification 🧮 math.SG math.SP
keywords stabilityfunctionstechniquestoricapplyarticleasymptoticbundles
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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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