Paper

Hilbert–Poincaré series of matroid Chow rings and intersection cohomology

Published Dec 6, 2022 · L. Ferroni, Jacob P. Matherne, Matthew Stevens

Advances in Mathematics

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Abstract

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Study Snapshot

This paper demonstrates a parallelism between the Kazhdan-Lusztig polynomial of a matroid and the Hilbert-Poincaré series of its Chow ring, settling a conjecture of Hameister, Rao, and Simpson and proving real-rootedness of

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

Hilbert–Poincaré series of matroid Chow rings and intersection cohomology

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