7 citations · 20 across the 6 of their papers we have counts for
6 papers
Explicit class field theory and the algebraic geometry of -rings
James Borger, Bart de Smit
We consider generalized -structures on algebras and schemes over the ring of integers of a number field . When , these agree with the -ring st…
Reconstructing global fields from Dirichlet L-series
Gunther Cornelissen, Bart de Smit, Xin Li +2
We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.
A remark On Abelianized Absolute Galois Group of Imaginary Quadratic Fields
Bart de Smit, Pavel Solomatin
The main purpose of this paper is to extend results on isomorphism types of the abelianized absolute Galois group , where denotes imaginary quadratic field.…
On Abelianized Absolute Galois Group of Global Function Fields
Bart de Smit, Pavel Solomatin
The main purpose of this paper is to describe the abelian part of the absolute Galois group of a global function field as pro-finite group. We will show t…
Lambda actions of rings of integers
James Borger, Bart de Smit
Let O be the ring of integers of a number field K. For an O-algebra R which is torsion free as an O-module we define what we mean by a Lambda_O-ring structure on R. We can determin…
Galois theory and integral models of Lambda-rings
James Borger, Bart de Smit
We show that any Lambda-ring, in the sense of Riemann-Roch theory, which is finite etale over the rational numbers and has an integral model as a Lambda-ring is contained in a prod…