TITLE: book recommendation for algebraic geometry
QUESTION [5 upvotes]: I have just finished my undergraduate studies and i want to study some algebraic geometry. i have taken 1 year analysis, topology, algebra courses and finished 1 semester complex analysis, homological algebra, fourier analysis, differential geometry. 
with this background i'm planning to study atiyah's commutative algebra. then next, where should be the starting point for studying the A.G? hartshorne is surely too tough for me. i want to read some A.G books which are not too hard to follow, and kind of self contained.

REPLY [3 votes]: I recommend the books "Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra. Authors: Cox, David A, Little, John, Oshea, Donal" and 
"Computational Commutative Algebra and Algebraic
Geometry Course and exercises with solutions. Author: I. Yengui".