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Supersolvability of built lattices and Koszulness of generalized Chow rings
Published online by Cambridge University Press: 01 September 2025
Abstract
We give an explicit quadratic Gröbner basis for generalized Chow rings of supersolvable built lattices, with the help of the operadic structure on geometric lattices introduced in a previous article. This shows that the generalized Chow rings associated to minimal building sets of supersolvable lattices are Koszul. As another consequence, we get that the cohomology algebras of the components of the extended modular operad in genus 
$0$ are Koszul.
MSC classification
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- Research Article
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- © The Author(s), 2025. The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
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