Macaulay2 / Macaulay2/M2

betti with degree 0 variables

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Core
Dominant language
Macaulay2
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Forks
297
Avg merge
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Merged PRs (30d)
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Description

Macaulay2 seems to give strange betti tables for modules over rings with variables of degree 0.

i1 : S = ZZ/101[x,y,Degrees => {{0},{1}}]

o1 = S

o1 : PolynomialRing

i2 : M = comodule ideal y

o2 = cokernel | y |

                            1
o2 : S-module, quotient of S

i3 : betti M

            0 1
o3 = total: 1 1
        -1: . 1
         0: 1 .

o3 : BettiTally

i4 : F = prune res M

      1      1
o4 = S  <-- S  <-- 0
                    
     0      1      2

o4 : ChainComplex

i5 : degrees F_1

o5 = {{1}}

o5 : List

Contributor guide

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Reproduce the example at the betti and res entry points using S, M, and F from the issue, then compare betti M with degrees F_1. Trace how degree-0 variables are handled in the Betti-table and resolution code. Done means the inconsistent behavior is corrected and covered by a regression test for this example.

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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