2013-04-10 05:47:01 +0200 | received badge | ● Supporter (source) |
2013-03-27 11:51:23 +0200 | commented answer | Defining a general curve Thank you! In the meanwhile I had figured that out. There is also the command K. = FunctionField(QQ). However you are right, the functionality is limited and it would be much nicer to work over QQ. I'm not sure if this is possible. |
2013-03-22 12:48:07 +0200 | asked a question | Defining a general curve Hey, I am relatively new to Sage, so this question might be very simple: I want to define a projective curve in $\mathbb{P}^2$ given by $x^3=y^3-Az^3$, where $A$ is an arbitrary non-zero element of an algebraically closed field, say C. I tried the following: x,y,z=ProjectiveSpace(2,CC,'xyz').gens(); var('A',domain=CC); C=Curve(x^3+y^3-A*z^3); But I get TypeError: F (=-A*z^3 + x^3 + y^3) must be a multivariate polynomial. Is it possible to define the curve I want in Sage? All examples of algebraic geometry in Sage I saw deal with explicitly defined curves. |