#15780: Increase Performance in Projective Morphism
-------------------------------------+-------------------------------------
       Reporter:  drose              |        Owner:  drose
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.2
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:  Projective,        |    Reviewers:  Ben Hutz
  Morphism                           |  Work issues:
        Authors:  Dillon Rose        |       Commit:
Report Upstream:  N/A                |  52ec0b39daba695f9c11a3727304f0b4b9e0deff
         Branch:  u/drose/15780      |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by bhutz):

 Testing functionality. Everywhere where the evaluation works it gives the
 right answer. However, there are several places where you can no longer do
 the evaluation which give a variety of errors. These all previously
 worked.

 {{{
 T.<z>=PowerSeriesRing(ZZ)
 P.<x,y>=ProjectiveSpace(T,1)
 H=End(P)
 f=H([x^2+x*y,y^2])
 Q=P(z,1)
 f(Q)
 }}}

 {{{
 T.<z>=LaurentSeriesRing(ZZ)
 P.<x,y>=ProjectiveSpace(T,1)
 H=End(P)
 f=H([x^2+x*y,y^2])
 Q=P(z,1)
 f(Q)
 }}}

 {{{
 T.<z>=PolynomialRing(Qp(7))
 I=T.ideal(z^3)
 P.<x,y>=ProjectiveSpace(T.quotient_ring(I),1)
 H=End(P)
 f=H([x^2+x*y,y^2])
 Q=P(z^2,1)
 f(Q)
 }}}

 {{{
 T.<z>=PolynomialRing(CC)
 I=T.ideal(z^3)
 P.<x,y>=ProjectiveSpace(T.quotient_ring(I),1)
 H=End(P)
 f=H([x^2+x*y,y^2])
 Q=P(z^2,1)
 f(Q)
 }}}

 {{{
 T.<z>=LaurentSeriesRing(CC)
 R.<t>=PolynomialRing(T)
 P.<x,y>=ProjectiveSpace(R,1)
 H=End(P)
 f=H([x^2+x*y,y^2])
 F=f.dehomogenize(1)
 Q=P(t^2,z)
 f(Q)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15780#comment:8>
Sage <http://www.sagemath.org>
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