#18008: Periodic points for projective/affine morphisms
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Reporter: gjorgenson | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.6
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers: Ben Hutz
Authors: Grayson Jorgenson | Work issues:
Report Upstream: N/A | Commit:
Branch: | e1299ee4b9c418eeb233156477b05916e16307a8
u/gjorgenson/ticket/18008 | Stopgaps:
Dependencies: |
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Changes (by bhutz):
* status: needs_review => needs_work
* reviewer: => Ben Hutz
Comment:
- title: no affine
- spaces around =
- Fields, PolynomialRing imports at top of file
- Fields should be Fields() in if (same for projective_homset)
- clean-up dsecription of periodic_points
- use set_verbose(None) instead of -1
- QQbar import at top of file
- both True and False example for periodic points
- Here is an interesting example:
{{{
P.<x,y,z>=ProjectiveSpace(QQ,2)
H=Hom(P,P)
f=H([x^2 - 21/16*z^2,y^2-2*z^2,z^2])
f.periodic_points(1)
}}}
- This example fails:
{{{
P.<x,y,z>=ProjectiveSpace(QuadraticField(5,'t'),2)
H=Hom(P,P)
f=H([x^2 - 21/16*z^2,y^2-z^2,z^2])
f.periodic_points(2, True)
}}}
Some of the points returned are fixed points. It is probably from how
.remove() is functioning
- A couple more examples, using number fields would be good too.
--
Ticket URL: <http://trac.sagemath.org/ticket/18008#comment:3>
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