Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

This question is based on the following phrase:

"In a sense, $\textrm{Spec} \ \mathbf{Z}$ looks topologically like a 3-dimensional sphere viewed as the Hopf fibration over $\mathbf{S}^2$."

See page 88 of Algebraic Geometry II by Shafarevich.

I find this remark very interesting but I can't seem to parse it.

I always just viewed $\textrm{Spec} \ \mathbf{Z}$ as an arithmetic analogue of $\mathbf{P}^1(\mathbf{C}) = \mathbf{S}^2$. This remark would add "something" to that in a sense.

share|improve this question
2  
This question has a lot of nice answers mathoverflow.net/questions/4075/… –  j.c. Jul 1 '10 at 17:42

1 Answer 1

up vote 4 down vote accepted

Various pieces of exposition and references are to be found - here, here, here, and here.

share|improve this answer
    
This is great. Thanks. –  Ariyan Javanpeykar Jul 1 '10 at 15:00

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.