#12187: Bug in is_singular for plane projective curves
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Reporter: johanbosman | Owner: AlexGhitza
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.8
Component: algebraic geometry | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Charlie Turner
Merged: | Dependencies:
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Changes (by newvalueoldvalue):
* status: new => needs_review
* author: => Charlie Turner
Old description:
> {{{
> sage: P.<X,Y,Z> = GF(2)[]
> sage: C = Curve(X^2 + Y*Z)
> sage: C.is_singular()
> True
> sage: C.is_smooth()
> True
> }}}
> This happens exactly when the characteristic of the base field divides
> the degree and the curve is smooth.
New description:
{{{
sage: P.<X,Y,Z> = GF(2)[]
sage: C = Curve(X^2 + Y*Z)
sage: C.is_singular()
True
sage: C.is_smooth()
True
}}}
This happens exactly when the characteristic of the base field divides the
degree and the curve is smooth.
Patch 'depends' on #11936 and #11937 to ensure testing passes if Kash is
installed.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12187#comment:1>
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