next up previous
Next: connection

Topics in Non commutative algebraic geometry and congruent zeta functions (Part IV). Theory of connections.

Yoshifumi Tsuchimoto

Jujitsu? I'm going to learn Jujitsu?

Neo, ca 2199

In this part we present basic tools of ``differential geometry on schemes.'' Since we mainly deal with local theories, we describe them in terms of rings and modules. Even so, students who are interested may note that the technique employed here (except for last few sections where the story is specific for characteristic $ p\neq 0$ ) is also applicable for ordinary differential geometry. In fact, for any differentiable manifold $ M$ , we have

And so on. So the theory here gives results on differential manifold without serious modifications.




next up previous
Next: connection
2012-02-29