#11930: function to check if hyperelliptitc curve is singular in the sense of
hyperelliptic curves
-------------------------------+--------------------------------------------
Reporter: dkrenn | Owner: cremona
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.7.2
Component: elliptic curves | Keywords: hyperelliptic curve, singular
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
-------------------------------+--------------------------------------------
We have
{{{
sage: R.<x> = PolynomialRing(GF(3))
sage: H=HyperellipticCurve(x^5+1)
sage: H.is_singular()
True
}}}
but `H` is a non-singular hyperelliptic curve. Although this is '''not'''
an error, since all hyperelliptic curves, where the degree of the defining
polynomial is at least 5, have a singularity at infinity.
The term non-singular hyperelliptic curve is used to say that all finite
points are non-singular. Therefore it would be nice to have a function
that returns the (non-)singularity of the finite points of an
hyperelliptic curve.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11930>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
