Posted by Martin Orr on Friday, 25 September 2009 at 15:45
In my last post on functors of points, I showed that functor of points of an affine 
Posted by Martin Orr on Wednesday, 02 September 2009 at 22:51
In this article, I will examine in more detail the functor of points of an affine variety,
which I defined in the last article.
I shall show that this functor is the same as a Hom-functor on the category of
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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