I'm an undergraduate and I have one year left to take some courses at the graduate level to prepare myself for graduate school. I go to a quarter school (U. Washington) so I only have time to take two courses at one time next year along with other minor prerequisites I have to do to graduate. I am - at this point - very interested in algebraic geometry and have begun to self study. I am definitely going to take a first graduate course in Algebra. My question is about the second class. My college's recommended first year track for AG is to take Algebra, Complex Analysis and a year long course on Manifolds. I've had about a 50-50 split from my professors about what I should take, so I wanted some outside opinions: which course is more important for AG?
The reason I am not sure is because I'm basing this all on my undergraduate institution, and I think the only prerequisite for a first course on AG is graduate algebra. Any advice would be much appreciated!!
ALSO - if there is a course you think is more important than one of these two main ones (like real analysis), let me know!