Correction to "Fibers of tropicalization"
Sam Payne
TL;DR
This paper corrects an error in a previous mathematical publication regarding fibers of tropicalization, ensuring the validity of the main theorem by addressing a discovered gap.
Contribution
It identifies and rectifies a specific error in the proof of a key theorem in tropical geometry, strengthening the original results.
Findings
Error in Proposition 5.1 corrected
Main theorem's proof now complete and valid
Clarification improves the reliability of the original paper
Abstract
This note explains an error in Proposition 5.1 of "Fibers of tropicalization," Math. Z. 262 (2009), no. 2, 301-311, discovered by W. Buczynska and F. Sottile, and fills the resulting gap in the proof of the paper's main theorem.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory