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Results tagged with arithmetic-geometry
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user 5952
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
0
votes
Accepted
what is the first Galois cohomology group of the Galois module End(T_l(A)) for some abelian ...
In general, if $G$ is a profinite group and $M$ a continuous discrete $G$--module, then $H^i(G,M)$ is torsion for $i>0$. This applies in particular to Galois cohomology, i.e. when $G$ is a Galois grou …
- 4,015
2
votes
1
answer
969
views
Surjectivity of bilinear forms.
It is not uncommon to describe interesting classes of field extensions by declaring that an extension $L|K$ belongs to that class if some type of problem with $K$-coefficiens has a property over $L$ i …
- 4,015
5
votes
Accepted
Torsion of elliptic curves is finite
I have a vague idea that this might be wrong.
First, it seems to me that you can even assume that $S$ is the spectrum of a local ring. Then, if $p$ is the resicual characteristic, the reduction map …
- 4,015