#12734: inconsistency in points of schemes
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Reporter: AlexGhitza | Owner: AlexGhitza
Type: defect | Status: new
Priority: minor | Milestone: sage-5.0
Component: algebraic geometry | Keywords: scheme point
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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We have
{{{
sage: AffineSpace(2, ZZ)(ZZ)
Set of rational points of Affine Space of dimension 2 over Integer Ring
}}}
but
{{{
sage: Spec(ZZ)(ZZ)
Point on Spectrum of Integer Ring defined by the Principal ideal (1) of
Integer Ring
}}}
We should probably fix the Spec one to have the documented behavior
(return the Set of ZZ-rational points). Note of course that the current
interpretation is completely wrong, since (1) is not a prime ideal of ZZ.
This is due to the prime ideal check being disabled by default (this is
documented in a comment in the code).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12734>
Sage <http://www.sagemath.org>
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