Try Shafarevich's Basic Algebraic Geometry I. It includes a good amount of examples from geometry in the exposition, as well as the necessary commutative algebra. I also like that differentials, divisors, and other gadgets are introduced without schemes (of course, you should eventually learn about schemes). The book moves pretty quickly, but if you have gone through Artin and Herstein then you should find it approachable.
2 of 2
Fixed the Amazon link. I wish there were something similarly canonical and less commercial, but oh well.
Dylan Moreland
- 111
- 1
- 3
- 9
Dylan Moreland
- 111
- 1
- 3
- 9