`isRegularSequence` from `Depth` package does not work in multigraded setting
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package issue
- Dominant language
- Macaulay2
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Description
The problem is in the title. Here is an example:
```
R = QQ[x,y, Degrees=>{{1,0},{0,1}}]
isRegularSequence {x,y}
```
yields `false`.
After a brief look at the code. It is doing something with Hilbert functions that assumes a standard graded ring.
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by locating the `isRegularSequence` implementation in the `Depth` package and reproduce the supplied multigraded-ring example. Inspect the Hilbert-function logic mentioned in the report, then use the example to verify that the function handles multigraded settings correctly.
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Assessment
- Domain
- backend
- Issue type
- Bug
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 35/100