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The functor of points of an affine variety

Posted by Martin Orr on Tuesday, 25 August 2009 at 20:56

I think I have made some progress recently in understanding the "functor of points" idea in algebraic geometry. In this article I shall explain how the functor of points of an affine variety arises simply by considering solutions to fixed polynomials over varying rings; this gives the motivating example for considering functors associated to more general algebraic-geometric objects.

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