I have just started reading Elementary Algebraic Geometry by Hulek. It is a nice book but I find that it doesn't give many problems (about 10 to 15 per chapter), and that the exercises present are a bit boring (mainly specific case work, seemingly arbitrary curves, etc.).

This is in stark contrast with say, Modern Graph Theory by Bollobas: plenty of fun problems.

A friend told me he had experienced the same with other Algebraic Geometry books. And my lecturer told us that this might be related to the nature of algebraic geometry. Indeed, so much theory is needed before being able to properly analyze the most basic problems...

Thoughts? Counter-examples (i.e. introductory books with many fun problem)?