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Anderson motives over Fq[t,theta] and their L-functions #36082

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xcaruso
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@xcaruso xcaruso commented Aug 12, 2023

We provide a rough implementation of Anderson motives over $\mathbb F_q[t, \theta]$.

Implemented features include:

  • facilities for computing additive tensorial constructions (direct sums, tensor products, symmetric powers, exterior powers)
  • methods for finding places of bad reduction
  • efficient methods for computing $L$-functions (at any place) of an Anderson module

As a byproduct, this PR defines a new class for embeddings of a polynomial ring into its completions; this class should probably be moved elsewhere and be covered by another PR.

cc @kryzar @DavidAyotte @ymusleh

📝 Checklist

  • 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.

Dependencies

#37201, #37208

@DavidAyotte DavidAyotte self-requested a review August 14, 2023 14:58
@xcaruso xcaruso added the sd125 sage days 125 label Feb 1, 2024
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github-actions bot commented Feb 1, 2024

Documentation preview for this PR (built with commit 42033a1; changes) is ready! 🎉

@xcaruso xcaruso closed this Feb 23, 2024
@xcaruso xcaruso deleted the anderson-motive branch February 23, 2024 15:51
@kryzar
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kryzar commented Mar 4, 2024

What's the status of this project? Why is the PR closed?

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4 participants