#12170: Genus computation (using singular) and _singular_ object for function 
filed
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   Reporter:  sydahmad            |          Owner:  AlexGhitza                 
    
       Type:  enhancement         |         Status:  needs_work                 
    
   Priority:  minor               |      Milestone:  sage-5.0                   
    
  Component:  algebraic geometry  |       Keywords:  function field, genus, 
singular
Work_issues:                      |       Upstream:  N/A                        
    
   Reviewer:                      |         Author:  Syed Ahmad Lavasani        
    
     Merged:                      |   Dependencies:  #9054                      
    
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Comment(by sydahmad):

 Replying to [comment:7 saraedum]:

 > I'm surprised myself but singular does not complain about fractions: `
 sage: singular.ideal('y^5 - (x^3 + 2*x*y + 1/x)') -x^3-2*x*y+y^5 sage:
 singular.eval('1/x') 0 ` The 1/x was just thrown out because in singular
 it evaluates to 0.

 So, basically, I need to clear the denominator before handing the job to
 Singular, correct? If yes is there a method to do so, or I just compute
 the GCD of the denom of all coeffs?

 Thanx.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12170#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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