#3416: Weierstrass form and Jacobian for cubics and certain other genus-one
curves
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Reporter: moretti |
Owner: was
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-5.7
Component: elliptic curves |
Resolution:
Keywords: nagell, weierstrass, cubic, elliptic curves, editor_wstein |
Work issues:
Report Upstream: N/A |
Reviewers: John Cremona, Marco Streng, Nils Bruin
Authors: Niels Duif, Volker Braun |
Merged in:
Dependencies: #12553, #13084, #13458 |
Stopgaps:
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Comment (by nbruin):
Replying to [comment:56 vbraun]:
> This was just my attempt to give a one-paragraph introduction of what
the Jacobian is; I'm aware (and do say) that it is not 100% mathematically
waterproof. How about I add a sentence that I'm just talking about CC
here. I think we should at least give some idea of what a genus-one curve
is thats understandable to somebody who is not a algebraic geometer or
number theorist...
And then proceed to describe what an elliptic curve is in terms of line
bundles :-). Including `CC` here is indeed a solution, but this code is
only interesting if you consider curves over base fields ''different
from'' `CC`.
I don't think you're ever going to get a useful 1-paragraph description
that's helpful for anybody who doesn't already know what a genus 1 curve
is and what their Jacobians are, so I wouldn't bother and just take the
terms as self-evident (and include a literature reference).
(It's a slightly simplified ''description'' of what the module does, by
the way. Not a ''version''.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3416#comment:57>
Sage <http://www.sagemath.org>
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