Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Serpé, Christian"'
Autor:
Knospe, Heiko, Serpé, Christian
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 field. Such rings possess a rich structure and have interesting relatio
Externí odkaz:
http://arxiv.org/abs/1509.06203
Autor:
Serpe, Christian
We show that equivariant K-theory satisfies descent with respect to the isovariant Nisnevich topology. The main step is to show that the isovariant Nisnevich topology is a regular, complete and bounded cd topology.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/1002.2565
Autor:
Brünjes, Lars, Serpé, Christian
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, is also algebraic over the rationals. We use ultraproducts respectiv
Externí odkaz:
http://arxiv.org/abs/0901.4853
Autor:
Brünjes, Lars, Serpé, Christian
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 and motives under ultraproducts respectively enlargements. The main mo
Externí odkaz:
http://arxiv.org/abs/0807.1007
Autor:
Brünjes, Lars, Serpé, Christian
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--398) and show how important homotopical constructions behave under e
Externí odkaz:
http://arxiv.org/abs/0807.1002
Autor:
Bruenjes, Lars, Serpe, Christian
Publikováno v:
Logic and Analysis 1 (2007), no. 1, 1--60.
In this article we use our constructions from "Enlargements of Categories" (Theory and Applications of Categories, 14:357-398) to lay down some foundations for the application of A. Robinson's nonstandard methods to modern Algebraic Geometry. The mai
Externí odkaz:
http://arxiv.org/abs/math/0604354
Autor:
Levine, Marc, Serpé, Christian
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 a definition of G-equivariant higher Chow groups (different from the C
Externí odkaz:
http://arxiv.org/abs/math/0511394
Autor:
Brünjes, Lars, Serpé, Christian
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 cohomology theory that inherits the important properties of etale coh
Externí odkaz:
http://arxiv.org/abs/math/0412406
Autor:
Bruenjes, Lars, Serpe, Christian
Publikováno v:
Theory and Applications of Categories 14 (2005), No. 16, 357--398 (electronic).
In order to apply nonstandard methods to modern algebraic geometry, as a first step in this paper we study the applications of nonstandard constructions to category theory. It turns out that many categorial properties are well behaved under enlargeme
Externí odkaz:
http://arxiv.org/abs/math/0408177
Autor:
Brünjes, Lars, Serpé, Christian
Publikováno v:
In Journal of Pure and Applied Algebra 2010 214(6):960-981
