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Updates, errata, & commentary

Please feel free to contact me with questions, comments, or mistakes.

Clarification to [BES24]. March 2025
Sridhar Venkatesh observed that the definition of M-convexity given on page 25 is subtlely different from the one used in the proof of Proposition 5.3.3. Happily, the two definitions are equivalent by [Mur03, Section 4.2].

Error in [BES24]. March 2025
Matt Larson pointed out that the statement of Proposition 5.2.3 is false. A correction is on arXiv; main results are unaffected.

Clarification to [BES24]. January 2024
In an arXiv update, we have expanded the proof of Lemma 3.3.10, following comments by Matt Larson.

References.

[BES24]

Spencer Backman, Christopher Eur, and Connor Simpson. “Simplicial generation of Chow rings of matroids”. J. Eur. Math. Soc. (JEMS) 26.11 (2024), pp. 4491–4535. arXiv: 1905.07114.

[Mur03]

Kazuo Murota. Discrete Convex Analysis. Discrete Mathematics and Applications. Society for Industrial and Applied Mathematics, Jan. 2003. 406 pp. isbn: 978-0-89871-540-8. url: https://epubs.siam.org/doi/book/10.1137/1.9780898718508.

Last update. March 21, 2025