#7927: Extend coleman integration to handle Weierstrass points
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Reporter: robertwb | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.1
Component: number theory | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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Comment(by jen):
Here's a first attempt at some more code, with a little bit of overlap
with Robert's code. I like his incorporation of the non-Teichmuller
algorithm as an optional parameter in the main Coleman integral function,
so we can mostly ignore what I do instead.
The main functions of interest are
coleman_integral_from_weierstrass_via_boundary and
coleman_integral_from_weierstrass ; the latter can only be used for odd
differentials, while the former is pretty slow, dependent on p-adic
extensions.
The auxiliary functions (e.g., P_to_S, S_to_Q, etc.) aren't likely to be
of much interest to the user, but they give us good consistency checks.
I'd appreciate input on renaming/restructuring things.
And my apologies for the messed-up line breaks in hyperelliptic_generic --
just noticed them now, but boxen.math (where I've been editing) has been
difficult to access in the last hour from Guam. I can fix this (my)
tomorrow morning.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7927#comment:1>
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