#11930: function to check if hyperelliptitc curve is singular in the sense of
hyperelliptic curves
-------------------------------+--------------------------------------------
   Reporter:  dkrenn           |          Owner:  cremona                      
       Type:  enhancement      |         Status:  needs_review                 
   Priority:  minor            |      Milestone:  sage-4.8                     
  Component:  elliptic curves  |       Keywords:  hyperelliptic curve, singular
Work_issues:                   |       Upstream:  N/A                          
   Reviewer:                   |         Author:  Daniel Krenn                 
     Merged:                   |   Dependencies:                               
-------------------------------+--------------------------------------------

Comment(by mstreng):

 The cause is of course the computationally convenient, but mathematically
 inaccurate, ambient space. The curve is smooth and projective, but not in
 {{{P^2}}}:
 {{{
 sage: R.<x> = GF(3)[]
 sage: H = HyperellipticCurve(x^5+1)
 sage: H.ambient_space()
 Projective Space of dimension 2 over Finite Field of size 3
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11930#comment:5>
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.

Reply via email to