# Martin's Blog

## Functors of points and base ring

Posted by Martin Orr on Thursday, 08 October 2009 at 09:58

So far in my series on functors of points, I have considered functors for some fixed field . We begin by observing that we may allow to be any ring. Then I consider whether it is possible to relate functors with base ring to functors with base ring , with only partial success.

Tags alg-geom, maths, points-func Read more...

## Morphisms and functors of points

Posted by Martin Orr on Thursday, 01 October 2009 at 15:45

This post will discuss the fact that -points of an affine -scheme (and more general objects) are the same as morphisms . James already brought this up in his comment last time. As well as proving this in the affine -scheme case, I shall attempt to give an intuitive explanation of this fact, although I don't find this entirely satisfying.