Maple agrees with magma here and says that the genus is one. Moreover, it computes a parametrization of the curve
sage: P=(((v + 2)*x^10 + (v - 2))/x^5, ((1/2*v - 3/2))/x^3) sage: p(x=P[0],y=P[1]) 0 The problem seems to be in singular. sage: I = Ideal(p) sage: I.genus() 10 If one looks at the documentation, p.geometric_genus?? it is said that it only works for prime fields. The documentation could be clearer for genus and I think that the method should raise an exception instead of giving a wrong answer. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support?hl=en.
