TITLE: Best way to learn Algebraic Geometry?
QUESTION [23 upvotes]: I've been reading the book Commutative Algebra with a view towards Algebraic Geometry.
I was wondering is the best way to learn algebraic geometry through commutative algebra? As the book I'm currently trying to read is Reid and he assumes Commutative Algebra.
Was wondering what you guys think is the best way to learn Algebraic Geometry. I'm patient so could probably read David Eisenbud and do all the exercise in it before learning Algebraic Geometry. 
To make it more concrete. What would you suggest to a fourth year undergrad student who wanted to learn Algebraic Geometry. Like add I know noncommutative algebra up to Artin Weddingburn Theorem. Also, know Group theory up to sylow theorem. Topology up to classification of 2-surfaces.

REPLY [12 votes]: One should be warned, though,that Algebraic Geometry is not merely "very structured Commutative Algebra", but there's more to it.
For instance, the theory of abelian varieties requires a more intrinsic geometric approach to be appreciated. Maybe abelian varieties are not objects one needs to deal with at the beginning, but they pop up as soon as one tries to get a bit more sophisticated (e.g. in the case of the Jacobian variety attached to an algebraic curve).
Also, a well-motivated student with inclinations toward Algebraic Geometry should have some basic knowledge of Algebraic Number Theory. After all, one of the motivations to introduce the language of schemes was to develop a good environment where the Weil Conjectures could be attacked, and many interesting examples come from situations with a number-theoretic content.