#11980: Improve naive point counting and implement zeta_function for
hyperelliptic
curves over finite fields
-------------------------------------+-------------------------------------
Reporter: dkrenn | Owner: cremona
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: elliptic curves | Resolution:
Keywords: sd35 | Merged in:
hyperelliptic curve sd53 | Reviewers: Marco Streng
Authors: Daniel Krenn, | Work issues:
Jean-Pierre Flori | Commit:
Report Upstream: N/A | c5b2f5d92936577e517f3a871e8f673727f33b10
Branch: | Stopgaps:
public/ticket/11980 |
Dependencies: #15148 |
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Comment (by jpflori):
IIRC there is no deep mathematics introduced here.
Just need to use jacobi symbols to know how many ordinates go with an
abscissa (0,1 or 2), the number of points at infinity (as here IIRC we're
really computing the number of points on the desingularization of the
curve).
The zeta funciton thing is just a very simple toy addition.
--
Ticket URL: <http://trac.sagemath.org/ticket/11980#comment:28>
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