Macaulay2 / Macaulay2/M2

Pushforward fails for the cuspidal cubic immersion

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Core NormalToricVarieties
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Macaulay2
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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.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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