#6341: implement Mestre's algorithm for constructing genus 2 hyperelliptic
curves
-----------------------------+----------------------------------------------
Reporter: ncalexan | Owner: was
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-feature
Component: number theory | Keywords: mestre algorithm genus 2
hyperelliptic curves sd35
Work_issues: | Upstream: N/A
Reviewer: Marco Streng | Author: Florian Bouyer
Merged: | Dependencies:
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Old description:
> An implementation of Mestre's algorithm for constructing genus 2
> hyperelliptic curves.
>
> * Apply [attachment:trac_6341_mestre_algorithm.patch]
> * Apply [attachment:trac_6341_mestre_algoritm_2.patch]
New description:
An implementation of Mestre's algorithm for constructing genus 2
hyperelliptic curves.
* Apply [attachment:6341_combined.patch]
--
Comment(by mstreng):
I wrapped lines and clarified / corrected documentation and corrected some
formulas. I also removed functions that were not needed.
To do:
- continue with wrapping lines and checking documentation for spelling or
formatting problems
- add the missing examples and possibly some more with non-trivial
reduction properties
- remove functions marked with "to_remove"
- make sure stoll-cremona reduction is correctly implemented when
homogenized to higher degree than the degree of the polynomial
- add a sanity check at the end of HyperellipticCurve_from_invariants,
checking if the curve has the correct invariants before outputting it
(RuntimeError otherwise)
apply 6341_combined.patch
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6341#comment:14>
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