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Results tagged with arithmetic-geometry
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user 76409
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
7
votes
Applications of $p$-adic Hodge theory
For an example of an application of $p$-adic Hodge theory in a geometric setting, I thoroughly recommend reading the beautiful paper
P. Berthelot, H. Esnault, K. Rulling, Rational points over finite …
3
votes
Accepted
Non-abelian Berthelot comparison?
Yes. A Google search will immediately give you lots of articles in varying generality (see e.g. work of Shiho), but one article I'm particularly fond of is Kim and Hain's "A de Rham-Witt approach to c …
- 1,404
6
votes
Accepted
Rigid versus log-rigid cohomology for semistable varieties
$\require{AMScd}$I'll expand a little on my comment to give an answer to David's follow up question:
Firstly, the general relationship is described in Chiarellotto's Duke 1999 paper "Rigid cohomology …
- 1,404
1
vote
Meaning of dagger cohomology $H^{1 \dagger}(G^\dagger)$ in "Frobenius and Monodromy Operator...
I think $X^{\dagger}$ must mean the dagger space associated to the weak formal scheme you get by taking the weak completion of the model $\mathcal{X}$ along the special fibre $\mathcal{X}_{k}$. Then $ …
- 1,404
2
votes
Bloch–Beilinson conjecture for varieties over function fields of positive characteristic
This may not be precisely what you want, but a function field analogue of Beilinson's conjectures is formulated in R. Sreekantan, Non-Archimedean regulator maps and special values of $L$-functions, Cy …
- 1,404