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Results tagged with ag.algebraic-geometry
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user 15630
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
3
votes
1
answer
322
views
Global functions on generalized Jacobians
Let $X/\mathbb{C}$ be a smooth projective curve of genus $g>0$ (here $\mathbb{C}$ is any algebraically closed field, say of characteristic $0$). Let $S$ be a finite set of closed points of X and let $ …
- 1,537
3
votes
Accepted
Reference for moduli stack of principal G-bundles?
I actually don't think$^{\dagger}$ that this example is in Laumon/Moret-Bailey, but Jonathan Wang's senior thesis is a detailed write up in the style of LMB (and in English!) of this fact: thesis and …
- 1,537
4
votes
2
answers
717
views
Hodge theory and varieties defined over subfields of the complex numbers
This question is related to the question: Is there a $k$-structure for Hodge modules over a $k$-variety?.
Suppose $K$ is a subfield of $\mathbb{C}$ and $M$ is a holonomic $D$-module "of geometric or …
- 1,537
8
votes
l-adic Turrittin
Here's a naive formulation of an analogue, which is false. (This fits very well the conditional phrasing from your question, since it would be an analogue if it were true!)
Levelt-Turrittin says that …
- 1,537
14
votes
Accepted
What are the different theories that the motivic fundamental group attempts to unify?
As in Birdman's comment, the motivic fundamental group is unifying the notion of monodromy action on the fibers of local systems of "geometric origin."
To explain this, let us start with the case of …
- 1,537