#6341: implement Mestre's algorithm for constructing genus 2 hyperelliptic
curves
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Reporter: ncalexan | Owner: was
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-feature
Component: number theory | Keywords: mestre algorithm genus 2
hyperelliptic curves sd35
Work_issues: see [comment:14] | Upstream: N/A
Reviewer: Marco Streng | Author: Florian Bouyer
Merged: | Dependencies:
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Comment(by mstreng):
With a view towards the future (number fields), it may be a good idea to
move the code from lines 679 -- 732 to a separate function with input a
polynomial, a valuation and a uniformizer. If the uniformizer generates
the prime ideal, this gives a local reduction that does not screw up the
other primes. If this is not possible (e.g. a non-principal prime of a
number field) you can still get a local reduction and combine the local
reductions later.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6341#comment:17>
Sage <http://www.sagemath.org>
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