October 19th, 2011, 10:48 PM  #1 
Member Joined: Aug 2010 Posts: 32 Thanks: 0  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 nonalgebraic 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! 
October 22nd, 2011, 08:04 PM  #2 
Senior Member Joined: Nov 2010 From: Berkeley, CA Posts: 174 Thanks: 35 Math Focus: Elementary Number Theory, Algebraic NT, Analytic NT  Re: Algebraic sets
Does work?


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