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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
2
answers
514
views
Essential geometric morphisms on the étale site.
Hi!
There is a risk that this question might be utterly trivial, and if it is, my sincerest apologies, but I haven't been able to find anything in the literature.
Let $f:X \rightarrow Y$ be an étal …
42
votes
7
answers
30k
views
Undergraduate roadmap to algebraic geometry?
Hello,
I'm sorry if this question isn't posted correctly. I hope that it is (since other questions regarding roadmaps have been allowed). Now to my question:
From what I've heard from professors and …
9
votes
1
answer
1k
views
What analysis should I know for studying Arakelov Theory?
Hi!
I have a fairly good background in Algebraic Geometry (say at the level of Hartshorne's book and some Intersection Theory from Fulton) and since I think working over $\text{Spec } \mathbb{Z}$ is …
24
votes
3
answers
2k
views
Explicit computations of the étale homotopy type?
Hi,
I'm currently trying to learn about etale homotopy for schemes as introduced by Artin-Mazur. I know that by the Artin-Mazur comparision theorem, it is possible to compute the etale homotopy type …