Strong factorization and the braid arrangement fan
John Machacek
TL;DR
This paper proves a strong factorization property for pairs of smooth fans refined by the braid arrangement fan, using a novel correspondence between cones and preposets to establish the result.
Contribution
It introduces a new method linking cones and preposets to demonstrate strong factorization for specific smooth fans.
Findings
Established strong factorization for pairs of smooth fans refined by the braid arrangement
Developed a correspondence between cones and preposets
Provided a new approach to fan factorization problems
Abstract
We establish strong factorization for pairs of smooth fans which are refined by the braid arrangement fan. Our method uses a correspondence between cones and preposets.
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