Dimension of an ideal #4244
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Dimension of an ideal #4244
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lgoettgens
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Oct 24, 2024
Co-authored-by: Lars Göttgens <[email protected]>
lgoettgens
reviewed
Oct 24, 2024
| @@ -1884,8 +1884,13 @@ julia> dim(I) | |||
| if I.dim > -1 | |||
| return I.dim | |||
| end | |||
| is_one(I) && return -1 # Catch a boundary case | |||
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Maybe stupid question: if I remember correctly, this is_one call already computes a groebner basis (possibly via singular). Wouldn't it then be more efficient to use this knowledge in Singular.dimension? Or does AlgebraicSolving.dimension make use of that as well?
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You are right, is_one() computes a GB via Singular. I will work on this tomorrow, there is more that can be optimized, e.g. caching GBs.
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Let me put this in draft mode, we first need to have #4246 and some discussions on default options before it makes sense to optimize this. |
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Allows AlgebraicSolving to compute the dimension of an ideal, if applicable.