#15113: Implement computations in picard groups via global sections of line
bundles
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Reporter: nbruin | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.12
Component: algebraic geometry | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by nbruin):
Todo:
* negation is currently just an addflip with an appropriate zero
representative. This can be made a little more efficient
* in the 'small' model, computations are going all the way up to
H^0^(9D,,0,,) in Kamal's notation, which is 3n for me. In cases where `n`
is divisible by 3, Kamal's remarks should directly reduce this to 7D,,0,,
and in other cases, similar ideas might apply as well.
Currently this means that the small approach to genus 3 curves (n=3) is a
little slower than the medium approach (n=4). Of course, we would not
limit ourselves to line bundles that are a multiple of the hyperplane
sections (for curves with a rational point we can do much better), we'd
get more choice of degrees.
--
Ticket URL: <http://trac.sagemath.org/ticket/15113#comment:2>
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