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Results tagged with arithmetic-geometry
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user 103423
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
14
votes
3
answers
2k
views
Motivation for the Jacobian Variety
I've been to many talks in Number Theory and for some reason I've yet to fully grasp, we all seem to like Jacobian Varieties a lot. I know that they are Abelian varieties, which give information about …
- 901
6
votes
1
answer
379
views
Semi-Simplicity of Mod-$\ell$ Galois Representations
I am currently studying mod-$\ell$ Galois representations of $CM$ elliptic curves. More precisely, let $\ell$ be a prime, $K$ a number field and $E/K$ a $CM$ elliptic curve, where all endomorphisms of …
- 901