The title really says it all:
where can I find some informations about projective planes over algebraically closed fields like $\mathbb{P}^2_{\bar{\mathbb{Q}}}$?
Here $\bar{\mathbb{Q}}$ stands for the algebraic closure of the field of rational numbers. I mean, for $\mathbb{C}$ there are well known references, but here for this particular case above I can't find something useful.
I'm interested in particular in the study of algebraic curves in these spaces.