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  A semi-small decomposition of the Chow ring of a matroid

Braden, T., Huh, J., Matherne, J. P., Proudfoot, N., & Wang, B. (2022). A semi-small decomposition of the Chow ring of a matroid. Advances in Mathematics, 409: 108646. doi:10.1016/j.aim.2022.108646.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-184F-3 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-0C1C-7
Genre: Journal Article

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https://doi.org/10.1016/j.aim.2022.108646 (Publisher version)
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 Creators:
Braden, Tom, Author
Huh, June, Author
Matherne, Jacob P.1, Author           
Proudfoot, Nicholas, Author
Wang, Botong, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Combinatorics
 Abstract: We give a semi-small orthogonal decomposition of the Chow ring of a matroid
M. The decomposition is used to give simple proofs of Poincar\'e duality, the
hard Lefschetz theorem, and the Hodge-Riemann relations for the Chow ring,
recovering the main result of [AHK18]. We also show that a similar semi-small
orthogonal decomposition holds for the augmented Chow ring of M.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2002.03341
DOI: 10.1016/j.aim.2022.108646
 Degree: -

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Title: Advances in Mathematics
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 409 Sequence Number: 108646 Start / End Page: - Identifier: -