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Methods for computing objects appearing in Taelman's class formula for Drinfeld modules #39215

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@xcaruso xcaruso commented Dec 28, 2024

This PR implements the following methods for Drinfeld modules over K = \text{Frac}(A):

  • class_polynomial: it computes the Fitting ideal of the class module of a Drinfeld module
  • taelman_exponential_unit: it computes the image under the exponential of a geneator of the module of Taelman's units

We refer to [Ta] for the definitions of these objects.

[Ta] Lenny Taelman. Special L-values of Drinfeld modules. Ann. Math. (2), 175(1):369–391, 2012.

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Documentation preview for this PR (built with commit 421bbe5; changes) is ready! 🎉
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@xcaruso xcaruso requested a review from kryzar December 29, 2024 12:41
@xcaruso xcaruso marked this pull request as draft December 31, 2024 07:48
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xcaruso commented Dec 31, 2024

I'm not entirely sure that my algorithm for computing Taelman's unit is correct. I need to think more about this.

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