#7425: I.variety() doesn't check that I is zero-dimensional
-----------------------------------+----------------------------------------
   Reporter:  AlexGhitza           |       Owner:  malb      
       Type:  defect               |      Status:  new       
   Priority:  major                |   Milestone:  sage-4.2.1
  Component:  commutative algebra  |    Keywords:            
Work_issues:                       |      Author:            
   Reviewer:                       |      Merged:            
-----------------------------------+----------------------------------------
 {{{I.variety()}}} should first check whether the ideal I is indeed
 0-dimensional and refuse to continue otherwise.  This should be a fairly
 trivial fix.  Right now the following seems to run forever:

 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.2, Release Date: 2009-10-24                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: R.<x, y, z> = QQ[]
 sage: I = R.ideal([x^2-y^3*z, x+y*z])
 sage: I.dimension()
 1
 sage: I.variety()
 verbose 0 (1808: multi_polynomial_ideal.py, variety) Warning: falling back
 to very slow toy implementation.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7425>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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