You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
julia> X = Spec(S)
Spectrum
of localization
of multivariate polynomial ring in 3 variables over QQ
at complement of prime ideal(x, y)
julia> dim(X)
3 WRONG
X =Spec(S) and S is clearly a regular local ring of Krull-dimension 2 (as the maximal ideal is generated by 2 elements x and y). so X should have dimension 2.
(Caution: Do not be misled by trdeg_QQ ( Quot(S) ) = 3)
Suggestion for ad hoc fix (to be improved later on): forbid dim for localizations at prime ideals for the time being.
The text was updated successfully, but these errors were encountered:
* Fix dim for affine schemes (#2639)
Implemented dimension for localizations along complements of prime
ideals and powers of an element. Not implemented for other
localizations.
---------
Co-authored-by: Matthias Zach <[email protected]>
julia> R,(x,y,z) = QQ["x","y","z"];
julia> U=complement_of_prime_ideal(ideal(R,[x,y]));
julia> S,_ = Localization(R,U);
julia> X = Spec(S)
Spectrum
of localization
of multivariate polynomial ring in 3 variables over QQ
at complement of prime ideal(x, y)
julia> dim(X)
3 WRONG
X =Spec(S)
andS
is clearly a regular local ring of Krull-dimension 2 (as the maximal ideal is generated by 2 elements x and y). soX
should have dimension 2.(Caution: Do not be misled by trdeg_QQ ( Quot(S) ) = 3)
Suggestion for ad hoc fix (to be improved later on): forbid dim for localizations at prime ideals for the time being.
The text was updated successfully, but these errors were encountered: