On Wed, Oct 16, 2024 at 6:45 PM Nils Bruin <nbr...@sfu.ca> wrote:
>

>
> Is the above reasoning correct?
>
>
> No it is not. The error above only indicates that the algorithm found a 
> contradiction to the assumption that the ideal is 0-dimensional; not that it 
> computed what the dimension actually is.
>

According to Singular's documentation and Oscar's first email in this
thread, stdfglm first computes groebner basis in order degrevlex, then
check the dimension.
I think this imply your claim that fglm can recognize 0 dimension is false.
Do you still claim that stdfglm recognizes 0 dimension without
computing groebner basis by using another oracle for basis?

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