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Results tagged with nt.number-theory
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user 126183
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
Does a $K_{\upsilon}$-point of a variety $V$ give a point of $V$ in $K_{(\upsilon)}=K^{sep}\...
If one is prepared to invoke some big theorems, these three situations can all be understood simultaneously in the language of model theory.
We say a field extension $E/F$ is elementary just when $E$ …
- 1,790
3
votes
Accepted
Logarithmic Weil height
It depends on what you mean by $|\cdot|$, but probably no.
If by $|\cdot|$ you mean the absolute value on $\mathbb C$, and your algebraic integers are elements of $\mathbb C$, then the answer is no. T …
- 1,790
7
votes
2
answers
542
views
Finite generation of motivic cohomology of number fields
Let $F$ be a number field ($F=\mathbb Q$ is fine for my purposes) and let $n\geq2$ be an integer. Is it known whether the first motivic cohomology groups
$$\mathrm H^1(\mathrm{Spec}(F),\mathbb Z(n))$$ …
- 1,790