#20930: Generalize multiplicity() and intersection_multiplicity() for subschemes
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       Reporter:  gjorgenson         |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-7.3
      Component:  algebraic          |   Resolution:
  geometry                           |
       Keywords:  gsoc2016           |    Merged in:
        Authors:  Grayson Jorgenson  |    Reviewers:  Ben Hutz
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/gjorgenson/ticket/20930          |  a655e09cec3ca127364d471d3c71ffab04122eea
   Dependencies:                     |     Stopgaps:
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Changes (by bhutz):

 * status:  needs_review => needs_work
 * reviewer:   => Ben Hutz


Comment:

 I see just a couple minor things here.

 In the descriptions: It is the multiplicity of the point, not the
 subscheme. For example 'Return the multiplicity of the codomain of this
 point at this point.' would be better as 'Return the multiplicity of this
 point in its codomain.' This occurs in a number of places.

 Also, the example I tried in 20811 which you used here was actually not
 quite what I had in mind. It is better with

 {{{
 G = PP.subscheme([(x^2 - 2*y^2)*v - y^2*u])
 }}}
 then you can (and should) describe it as finding the fixed points of
 `z^2-2`.

--
Ticket URL: <https://trac.sagemath.org/ticket/20930#comment:5>
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