#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.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12187#comment:1>
Sage <http://www.sagemath.org>
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