#5569: [with patch, needs work] weil restriction of scalars
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 Reporter:  malb                 |       Owner:  malb      
     Type:  enhancement          |      Status:  new       
 Priority:  major                |   Milestone:  sage-3.4.1
Component:  commutative algebra  |    Keywords:            
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Comment(by was):

 {{{
 15:43 < wstein> The patch looks good, except why not define the Weil
 restriction of scalars
 15:43 < wstein> functor.
 15:43 < wstein> You don't define it, but giving a complete valid
 mathematical definition only
 15:43 < wstein> takes about 2-3 sentences.
 15:43 < wstein> I can't see why not to do that.
 15:43 < malb> okay
 15:44 < wstein> Serge Lang first taught me about that construction using
 equations
 15:44 < wstein> when I was having lunch with him once in grad school.
 15:44 < wstein> Then I personally realized it is a functor and used that
 to prove that
 15:44 < malb> I knew about this for a while but learned the proper name
 just now
 15:44 < wstein> it is unique up to whatever...
 15:44 < wstein> It was just an exercise for me, of course, since it is all
 well known.
 15:45 < wstein> Also, could you add an example that involves an elliptic
 curve (affine patch
                 of one, at least)
 15:45 < wstein> over a quadratic field?
 15:45 < wstein> That would be cool.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5569#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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