Where to start with Algebraic Geometry? 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, Cox, Little and O'Shea's Ideals, Varieties, and Algorithms, and Justin Smith's 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).
Thomas Garrity's Algebraic Geometry: A Problem Solving Approach.

The book starts with establishing the equivalence of conics in the complex projective plane and then moves on smoothly to discussing tangents and singularities, elliptic curves, Bezout's theorem, Riemann-Roch, affine and projective varieties, and -- finally -- a brief intro to sheaves and cohomology.
You don't have enough background in commutative algebra. Try to finish Atiyah &amp; McDonald or Eisenbud first. Then uyou can start Liu Qing or Hartshorne.