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2018-09-23 12:55:03 +0200 received badge  Nice Question (source)
2018-09-19 22:51:33 +0200 received badge  Student (source)
2018-09-19 22:39:03 +0200 asked a question Real Algebraic Scheme question

I apologize if this question is too naive.

I need to know the irreducible components of an algebraic scheme defined over $\mathbb{R}$. I can get Sage to do this if I consider the scheme is defined over $\mathbb{Q}$, but this is not sufficient to answer my question over $\mathbb{R}$.

Can Sage actually do this for real algebraic schemes?

and here is the code I tried:

K = RealField()
A9 = AffineSpace(K, 2, 'a,b')