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THE DENSE REGION IN SCATTERING DIAGRAMS
Published online by Cambridge University Press: 10 February 2025
Abstract
We use deformations and mutations of scattering diagrams to show that a scattering diagram with initial functions 
$f_1=(1+tx)^\mu $ and 
$f_2=(1+ty)^\nu $ has a dense region. This answers a question asked by Gross and Pandharipande [‘Quivers, curves, and the tropical vertex’, Port. Math. 67(2) (2010), 211–259] which had been proved only for the case 
$\mu =\nu $.
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- Research Article
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- © The Author(s), 2025. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
This project was financially supported by Mark Gross’ ERC Advanced Grant Mirror Symmetry in Algebraic Geometry (MSAG).
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