What are the prerequisites for studying modern algebraic geometry?

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I have studied differential geometry , thought of starting to study algebraic geometry , but it seems completely different from differential geometry . It uses lots of abstract algebraic tools . I wonder how much abstract algebra do I need to learn in order to learn algebraic geometry . Possibly , some reference of algebraic geometry books will much helpful . Another thing I see a lot in lecture notes on introductory algebraic geometry is the usage of angle brackets , i suppose they something completely different . What do they mean , anyway ?