Observation II. Sheaf theory is hard.
Per my earlier entry: Given a smooth complex algebraic variety , I finally manage to track down a semi-manageable definition for the structure sheaf . But here’s the thing with super-abstract definitions of things:
There’s a big difference between “getting them” and understanding them. In this case, I read the definition a few dozen times, annotated the .pdf file by Elliott with what I found, and felt as if I truly “got it”. Then, I read an example regarding the topological space with the claim that …
…say what now?!
Finally, I reread a bunch of stuff and found a cool analogy between arbitrary varieties and the case where is a smooth -times continuously differentiable manifold of dimension . This cleared things up for me.
It really is going to be a long summer. Heh.