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@tscrim tscrim commented Jan 5, 2024

We implement the Aomoto complex of the Orlik-Solomon algebra $A$, which is defined as the chain complex on $A$ with the differential defined by $\omega \wedge$ for any $\omega \in A_1$.

We also provide an implemented of Hilbert series for any filtered module, where those for finite rank modules return honest polynomials. (This was originally going to be just for the Orlik-Solomon algebra, but the implementation trivially generalizes.)

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  • The title is concise, informative, and self-explanatory.
  • The description explains in detail what this PR is about.
  • I have linked a relevant issue or discussion.
  • I have created tests covering the changes.
  • I have updated the documentation accordingly.

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tscrim commented Jan 15, 2024

@fchapoton @miguelmarco cc-ing people who might be interested.

@tscrim tscrim force-pushed the algebras/orlik_solomon_aomoto_complex branch from df9ab02 to 438803d Compare January 16, 2024 14:00
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tscrim commented Jan 16, 2024

In addition to addressing the comments, I added a doctest for the input check.

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Documentation preview for this PR (built with commit 438803d; changes) is ready! 🎉

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looks good. Interesting addition. Thanks

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tscrim commented Jan 17, 2024

Merci!

@vbraun vbraun merged commit 87955da into sagemath:develop Jan 22, 2024
@tscrim tscrim deleted the algebras/orlik_solomon_aomoto_complex branch January 22, 2024 08:10
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4 participants