#18916: Use Kedlaya algorithm to count points on hyperelliptic curves
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Reporter: jpflori | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: number fields | Resolution:
Keywords: hyperelliptic | Merged in:
curves, matrix of Frobenius | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | 6a4e932eef76137b6856c3b84f2fe82de807cc3a
u/kedlaya/use_kedlaya_algorithm_to_count_points_on_hyperelliptic_curves|
Stopgaps:
Dependencies: #20219 |
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Comment (by kedlaya):
Sorry, I seem to have dragged this ticket somewhat off topic. I created
the new ticket #20309 to discuss Frobenius matrices.
The original topic of this ticket was point counting (and by extension
zeta functions), and for that by far the easiest solution would be to use
PARI's {{{hyperellcharpoly}}}. Better would be to intelligently combine
this with Harvey's code for Frobenius matrices when it applies (it's very
fast but not as general), but maybe that can be a separate ticket later.
--
Ticket URL: <http://trac.sagemath.org/ticket/18916#comment:17>
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