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gh-35057: Implement basic j-invariants of Drinfeld modules <!-- ^^^^^ Please provide a concise, informative and self-explanatory title. Don't put issue numbers in there, do this in the PR body below. For example, instead of "Fixes #1234" use "Introduce new method to calculate 1+1" --> ### 📚 Description The goal of this PR is to implement basic j-invariants of Drinfeld module as defined by Potemine in Potemine, I.Y. Minimal Terminal ℚ-Factorial Models of Drinfeld Coarse Moduli Schemes. Mathematical Physics, Analysis and Geometry 1, 171–191 (1998). https://doi.org/10.1023/A:1009724323513 These j-invariants allows to determine whether two Drinfeld `Fq[T]`-modules of arbitrary ranks are isomorphic or not. @kryzar @ymusleh @xcaruso <!-- Describe your changes here in detail --> <!-- Why is this change required? What problem does it solve? --> <!-- If it resolves an open issue, please link to the issue here. For example "Closes #1337" --> ### 📝 Checklist <!-- Put an `x` in all the boxes that apply. --> <!-- If your change requires a documentation PR, please link it appropriately --> <!-- If you're unsure about any of these, don't hesitate to ask. We're here to help! --> - [x] I have made sure that the title is self-explanatory and the description concisely explains the PR. - [] I have linked an issue or discussion. - [x] I have created tests covering the changes. - [x] I have updated the documentation accordingly. ### ⌛ Dependencies <!-- List all open pull requests that this PR logically depends on --> <!-- - #xyz: short description why this is a dependency - #abc: ... --> Depends on #35026 because this PR implements Drinfeld modules. URL: #35057 Reported by: David Ayotte Reviewer(s): Antoine Leudière, David Ayotte, Xavier Caruso
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src/doc/en/reference/references/index.rst

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@@ -2724,9 +2724,9 @@ REFERENCES:
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doubles of finite groups*. PhD Thesis,
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University of California, Santa Cruz. 1999.
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.. [GoMa2010] Christopher Goff and Geoffrey Mason,
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.. [GoMa2010] Christopher Goff and Geoffrey Mason,
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*Generalized twisted quantum doubles and the McKay correspondence*,
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J. Algebra 324 (2010), no. 11, 3007–3016.
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J. Algebra 324 (2010), no. 11, 3007–3016.
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.. [GJ2016] Muddappa Seetharama Gowda and Juyoung Jeong.
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Spectral cones in Euclidean Jordan algebras.
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.. [Pos2005] \A. Postnikov, Affine approach to quantum Schubert
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calculus, Duke Math. J. 128 (2005) 473-509
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.. [Pot1998] Potemine, I.Y.,
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Minimal Terminal Q-Factorial Models of Drinfeld Coarse Moduli Schemes.
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Mathematical Physics, Analysis and Geometry 1, 171-191 (1998).
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:doi:`10.1023/A:1009724323513`
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.. [PPW2013] \D. Perkinson, J. Perlman, and J. Wilmes.
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*Primer for the algebraic geometry of sandpiles*.
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Tropical and Non-Archimedean

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