Pushforward fails for the cuspidal cubic immersion
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Description
I don't understand what is going wrong here:
```m2
needsPackage "NormalToricVarieties"
P1 = toricProjectiveSpace 1
P2 = toricProjectiveSpace 2
f = inducedMap map(P2, P1, matrix{{-2},{1}})
S = ring P1
pushForward_f S^{2}
```
This gives the error:
```m2
stdio:6:12:(3): error: not implemented yet: unexpected degree map of ring map
```
Which comes from here:
https://github.com/Macaulay2/M2/blob/ec65028f1527076b663279b1311188caa9e22b67/M2/Macaulay2/m2/pushforward.m2#L147-L151
What is this check for?
Note that the map is sending the variables of P^2 to `{x_0*x_1^2, x_0^3, x_1^3}`, all degree 3, and both source and target are standard graded.
@mikestillman @ggsmith any ideas?
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Research direction
Reproduce the example in the issue, then inspect the degree-map check in M2/Macaulay2/m2/pushforward.m2 at lines 147-151. Determine why this map reaches the unexpected-degree error despite the stated grading, and define done as making the pushforward computation handle this example without that error.
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Assessment
- Domain
- tooling
- Issue type
- Bug
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 35/100