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Fix preperiodic_points function over rings #35998

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This PR aims to fix #34095.

📝 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

@bhutz
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bhutz commented Aug 7, 2023

The underlying issue is not yet addressed here. The call to .dimension() is only valid over rings, so that would need to be called over the fraction field of the base ring.

I'd also suggest a different new example:

P.<x,y> = ProjectiveSpace(ZZ 1)
f = DynamicalSystem_projective([4*x^2 - 7*y^2, 4*y^2])
f.preperiodic_points(1,2)

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github-actions bot commented Sep 3, 2023

Documentation preview for this PR (built with commit b7797f7; changes) is ready! 🎉

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Preperiodic points fails over rings
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