Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Brünjes, Lars"'
We introduce and study reward sharing schemes (RSS) that promote the fair formation of {\em stake pools}\ in collaborative projects that involve a large number of stakeholders such as the maintenance of a proof-of-stake (PoS) blockchain. Our mechanis
Externí odkaz:
http://arxiv.org/abs/1807.11218
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:
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:
Bruenjes, Lars
We study ``forms of the Fermat equation'' over an arbitrary field $k$, i.e. homogenous equations of degree $m$ in $n$ unknowns that can be transformed into the Fermat equation $X_1^m+...+X_n^m$ by a suitable linear change of variables over an algebra
Externí odkaz:
http://arxiv.org/abs/math/0301186