Basic algebraic geometry from a modern point of view Due to some circumstances I ended up learning algebraic geometry from a very abstract point of view, without any exposure to more classical topics. I am now in the awkward situation where I am comfortable with concepts such as schemes, sheaves and cohomology, despite knowing very few examples.
Finding a more classical book and working through it would certainly help, but that seems like an inefficient approach. Therefore I am looking for a text on classical topics from a modern point of view, preferably with many exercises. (Prime example: Ch. 27 of Vakil's FoAG , about the 27 lines on a cubic.) Thanks in advance.

I think Dolgachev's "Classical Algebraic Geometry: a modern view" is a kind of book you may enjoy. It is freely available from the author's website:
http://www.math.lsa.umich.edu/~idolga/CAG.pdf
