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arxiv: 1301.4541 · v1 · pith:B62E5XC6new · submitted 2013-01-19 · 🧮 math.RT · math.AG· math.QA

Upper Bounds for Mutations of Potentials

classification 🧮 math.RT math.AGmath.QA
keywords boundsmutationspotentialsupperalgebraicanalogueberensteinduke
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In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1-52].

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