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Results tagged with rigid-analytic-geometry
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user 1384
rigid analytic varieties, affinoid varieties, strictly convergent power series over non-archimedean fields
2
votes
What are in units of an affinoid algebra?
Not an answer, but some perhaps pertinent examples.
One catch is that any unit in $A$ can be scaled until it's in $A^0$, but I don't think you can also guarantee that it's not in $A^{00}$. Here's a f …
- 41.4k
4
votes
Accepted
Base Change for Eigenvarieties
This is all a bit complicated -- the theory is still in its infancy and some arguments aren't quite as smooth as they should be.
If all you know is that "the eigenvarieties have been constructed" the …
- 41.4k
16
votes
Accepted
simple questions on topological rings arising in the context of Perfectoid Spaces
Firstly, I don't think you should start to learn about adic spaces by thinking about perfectoid spaces. The sensible examples of adic spaces for a beginner to think about are sane Noetherian things li …
- 41.4k
11
votes
Accepted
Consequences of the geometric properties of the eigencurve
The eigencurve is an honest moduli space---it parametrises families of finite slope overconvergent modular eigenforms (or more precisely, of systems of overconvergent finite slope Hecke eigenvalues)-- …
- 41.4k