22
$\begingroup$

I've been reading the book Commutative Algebra with a view towards Algebraic Geometry.

I was wondering is the best way to learn algebraic geometry through commutative algebra? As the book I'm currently trying to read is Reid and he assumes Commutative Algebra.

Was wondering what you guys think is the best way to learn Algebraic Geometry. I'm patient so could probably read David Eisenbud and do all the exercise in it before learning Algebraic Geometry.

To make it more concrete. What would you suggest to a fourth year undergrad student who wanted to learn Algebraic Geometry. Like add I know noncommutative algebra up to Artin Weddingburn Theorem. Also, know Group theory up to sylow theorem. Topology up to classification of 2-surfaces.

  • 0
    Take a look at, http://mathoverflow.net/questions/35288/undergraduate-roadmap-to-algebraic-geometry2011-12-26

3 Answers 3