Macaulay2 / Macaulay2/M2

Re-inventing the wheel for multiprojective space

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Macaulay2
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Description

I'd like a multigraded ring for working with a product of projective spaces for some code I'm working on and noticed that it's re-implemented at least four times already in different packages:

* [`CharacteristicClasses::MultiProjCoordRing`](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.21/share/doc/Macaulay2/CharacteristicClasses/html/___Multi__Proj__Coord__Ring.html)
* [`CorrespondenceScrolls::productOfProjectiveSpaces`](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.21/share/doc/Macaulay2/CorrespondenceScrolls/html/_product__Of__Projective__Spaces.html)
* [`K3Carpets::productOfProjectiveSpaces`](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.21/share/doc/Macaulay2/K3Carpets/html/_product__Of__Projective__Spaces.html)
* [`TateOnProducts::productOfProjectiveSpaces`](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.21/share/doc/Macaulay2/TateOnProducts/html/_product__Of__Projective__Spaces.html)

This seems like a useful enough construction that perhaps it could be moved to `Core` or some other basic package that these other packages could import.

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Research direction

Compare the four existing implementations: CharacteristicClasses::MultiProjCoordRing and productOfProjectiveSpaces in CorrespondenceScrolls, K3Carpets, and TateOnProducts. Determine whether a shared implementation belongs in Core or another basic package, then verify that the affected packages can import it without changing their behavior.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Refactor
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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