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Results tagged with arithmetic-geometry
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user 10580
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
5
votes
1
answer
606
views
Hodge-Tate decomposition for formal groups
Hi All,
Where can I find a proof of the Hodge-Tate decomposition for Lubin-Tate formal
groups?
Thanks!
2
votes
1
answer
976
views
Rapoport-Zink proof of purity of monodromy
Hi,
Does anyone know if the article
"Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindene Zyklen in ungleicher Charakteristik", INvent. Math, 68 (1980)
by Rapo …
8
votes
1
answer
992
views
Is the Galois x Hecke action on cohomology of Shimura varieties semi-simple?
Given a reductive group $G/\mathbf Q$ (+ additional data), and a compact open subgroup $K\subset G(\mathbf A^\infty)$, there is a standard construction that produces a Shimura variety $S$ and if we ch …
5
votes
0
answers
832
views
Motivic Galois group and Shimura varieties
Hi,
Suppose that one has a Shimura variety $Sh(G,X)$ where $(G,X)$ is the corresponding Shimura datum and suppose that it can be interpreted as a moduli space of motives (e.g. PEL type Shimura variet …