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.