5 citations · 8 across the 6 of their papers we have counts for
6 papers
On the Spectrum of Nonstandard Dedekind Rings
Heiko Knospe, Christian Serpé
The methods of nonstandard analysis are applied to algebra and number theory. We study nonstandard Dedekind rings, for example an ultraproduct of the ring of integers of a number f…
Uniform bounds and ultraproducts of cycles
Lars Brünjes, Christian Serpé
This paper is about the question whether a cycle in the l-adic cohomology of a smooth projective variety over the rational numbers, which is algebraic over almost all finite fields…
Etale and motivic cohomology and ultraproducts of schemes
Lars Brünjes, Christian Serpé
This paper is a continuation of the authors article "Enlargements of schemes" (Log. Anal.1 (2007), no. 1, 1-60) We mainly study the behaviour of etale cohomology, algebraic cycles…
Nonstandard model categories and homotopy theory
Lars Brünjes, Christian Serpé
In order to apply nonstandard methods to questions of algebraic geometry we continue our investigation from "Enlargements of categories" (Theory Appl. Categ. 14 (2005), No. 16, 357…
On a spectral sequence for equivariant K-theory
Marc Levine, Christian Serpé
We apply the machinery developed by the first-named author to the K-theory of coherent G-sheaves on a finite type G-scheme X over a field, where G is a finite group. This leads to…
Nonstandard Etale Cohomology
Lars Brünjes, Christian Serpé
A lot of good properties of etale cohomology only hold for torsion coefficients. We use "enlargement of categories" as developed in http://arxiv.org/abs/math.CT/0408177 to define a…