#17067: Canonical height over number fields for projective morphisms
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Reporter: bhutz | Owner: bhutz
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.4
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: canonical height | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | bc111997c874e67e09dfbfe29e71118924fe4f9b
u/bhutz/ticket/17067 | Stopgaps:
Dependencies: |
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Changes (by bhutz):
* commit: => bc111997c874e67e09dfbfe29e71118924fe4f9b
Comment:
ok. I've now taken the original code from Adam Towsley and Paul Fili from
sage-days 55 and made it mesh with the current functionality in Sage. It
should be noted that I left QQ using RR and Qp so that the flip trick
works better. However, over number fields, the size of the point is
growing quite quickly so N cannot be too large. I didn't see a way to get
a good use of the residue field (with precision) as with QQ.
Please take a look and see what you think. I've run many more examples
there are in the docs where I pullback rational points to a number field
and haven't run into any issues there. Another way to get valid tests
would be nice.
I'm also considering adding the error bound computation for dimension >1
to this ticket as well, but I've haven't yet looked into how complicated
that will be.
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New commits:
||[http://git.sagemath.org/sage.git/commit/?id=bc111997c874e67e09dfbfe29e71118924fe4f9b
bc11199]||{{{implement canonical heights over number fields}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/17067#comment:2>
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