Two or three things: 1. Rational conics. Magma first implemented my algorithms, which are in eclib but not wrapped, so we could do a lot quite easily there. But now Magma uses Denis Simon's algorithm which is better in certain cases, and he would certainly donate his code (in gp I think).
2. Elliptic curves over function fields: quite a bit of what Magma has came from my student David Roberts, whose thesis in 2007 was about this. I have his code. 3. 4-descent in Magma was developed first by my student Tom Womack, though later tidied up quite a lot in Sydney. I have all Tom's code. 4. Other descents on elliptic curves, and "genus one models": mostly written by Tom Fisher who has not (yet!) started to use Sage; but he is implementing algorithms developed jointly by himself, me Stoll, Simon and others, and may well be willing to donate his code to Sage. John 2009/6/6 davidloeffler <dave.loeff...@gmail.com>: > > On Jun 6, 3:47 am, William Stein <wst...@gmail.com> wrote: > >> * Galois theory and ramification groups for p-adic extensions (needs >> the previous features) > > I wrote a (very simplistic) implementation of Artin symbols and > decomposition and ramification groups a few months back for extensions > of *number fields*, so we have this via the canonical dumb algorithm: > find an extension of number fields whose local extension at some prime > is the p-adic extension you want. > >> VII. Modules >> >> * Sage has nothing for modules over Dedekind domains (except over >> ZZ): this is an extremely important building block for certain >> algorithms (e.g., arithmetic in quaternion algebras over number >> fields), so needs to get implemented. I recently wrote code for >> general modules over ZZ, but it isn't in Sage yet. >> >> PROJECT: Finish modules over ZZ, optimize >> >> PROJECT: Extend modules over ZZ to modules over a PID > > Last week I wrote some code for Hermite form, which is the key linear- > algebra step for this; see trac #6178. So we have free modules over an > arbitrary PID (me) and arbitrary fg modules over ZZ (you), and > combining these probably won't be very hard. > > David > > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
