I'm looking into studying Algebraic Geometry alongside some Algebraic Topology and was wondering what book would be useful. I was looking along the lines from Igor's Basic Algebraic Geometry, Ideal's Varieties and algorithms by Cox and Shea and Justin smiths Introduction to Algebraic Geometry. I've heard that Igor's book "Basic Algebraic Geometry" is fantastic but the problems are known to be impossible.
What is the best text to use for study on algebraic geometry? I have an understanding in Real Analysis (only single variable), Topology, Abstract Algebra (up to Ring theory).