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Apr 2, 2010 at 6:14 comment added KConrad I agree this is a nice point of view, but ifk said the students have not all had commutative algebra. So how can this be a topic that would be accessible to all the students?
Apr 2, 2010 at 6:07 comment added Qiaochu Yuan I should also mention, if you're unfamiliar with the number/function field analogy, that the analogy usually has an intermediate step where you replace Z with F_q[t]. This field is even more similar to Z than C[t]; for example, a version of the prime number theorem holds!
Apr 2, 2010 at 1:25 history answered Qiaochu Yuan CC BY-SA 2.5