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October 19th, 2011, 10:48 PM   #1
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Algebraic sets

Here is a simple question that I could not solve it! Not yet!

Well, let k be an algebraically closed field; this is the routine assumption in algebraic geometry. Let A be its associated polynomial ring, on n indeterminates, on k, and let be the corresponding Affine space.

Now I want an example of a non-algebraic set in . To be sure I can find some examples when k is the complex field and n=1,2. But here I want an example that works for any field k (but algebraically closed of course) and arbitrary n.

I'd be grateful if anyone can help me with this!
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October 22nd, 2011, 08:04 PM   #2
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Re: Algebraic sets

Does work?
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