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Results tagged with algebraic-number-theory
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user 39304
Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces
4
votes
Accepted
A Tate-Sen theorem mod $p$
$\newcommand{\bQ}{\mathbb{Q}}\newcommand{\cO}{\mathcal{O}}\newcommand{\bC}{\mathbb{C}}\newcommand{\bZ}{\mathbb{Z}}\newcommand{\bF}{\mathbb{F}}$The open subgroup $Gal(\overline{\bQ}_p/\bQ_p(\mu_p))$ ac …
- 7,377
2
votes
Accepted
Injectivity of Frobenius on $A_{cris}$
$\newcommand{\Z}{\mathbb{Z}}$
$\def\cO{\mathcal{O}}$There seems to be a suspiciously straightforward proof by analyzing the Witt coordinates of the elements of $A_{cris}$ so there might well be a mist …
- 7,377
6
votes
1
answer
744
views
Group laws in class field theory
In the case of a quadratic imaginary number field one can construct its maximal abelian extension using torsion points of an elliptic curve with complex multiplication by this field.
In the case of a …
- 7,377