WorldCat Identities

Scheiderer, Claus 1959-

Works: 8 works in 32 publications in 2 languages and 564 library holdings
Roles: Author, Contributor
Classifications: QA3, 514.2
Publication Timeline
Most widely held works by Claus Scheiderer
Real and Étale cohomology by Claus Scheiderer( Book )
14 editions published in 1994 in English and held by 457 WorldCat member libraries worldwide
This book makes a systematic study of the relations between the tale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, tale cohomology is cohomology of the real spectrum. It also contains new contributions in group cohomology and in topos theory. It is of interest to graduate students and researchers who work in algebraic geometry (not only real) and have some familiarity with the basics of tale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory
Einführung in die reelle Algebra by Manfred Knebusch( Book )
8 editions published in 1989 in German and held by 71 WorldCat member libraries worldwide
Untergruppenverbände topologischer Gruppen by Claus Scheiderer( Book )
3 editions published in 1985 in German and Undetermined and held by 27 WorldCat member libraries worldwide
A real algebra perspective on multivariate tight wavelet frames by Maria Charina( Book )
2 editions published in 2012 in English and held by 4 WorldCat member libraries worldwide
Pure states, nonnegative polynomials, and sums of squares by Sabine Burgdorf( Book )
2 editions published in 2011 in English and held by 2 WorldCat member libraries worldwide
Zero-cycles and cohomology on real algebraic varieties by J.-L Colliot-Thélène( Book )
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
Sums of squares and moment problems in equivariant situations by Jaka Cimprič( )
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
We begin a systematic study of positivity and moment problems in an equivariant setting. Given a reductive group $G$ over $\mathbb{R}$ acting on an affine $\mathbb{R}$-variety $V$, we consider the induced dual action on the coordinate ring $\mathbb{R}[V]$ and on the linear dual space of $\mathbb{R}[V]$. In this setting, given an invariant closed semialgebraic subset $K$ of $V(\mathbb{R})$, we study the problem of representation of invariant nonnegative polynomials on $K$ by invariant sums of squares, and the closely related problem of representation of invariant linear functionals on $\mathbb{R}[V]$ by invariant measures supported on $K$. To this end, we analyse the relation between quadratic modules of $\mathbb{R}[V]$ and associated quadratic modules of the (finitely generated) subring $ $\mathbb{R}[V]^G$ of invariant polynomials. We apply our results to investigate the finite solvability of an equivariant version of the multidimensional $K$-moment problem. Most of our results are specific to the case where the group $G(\mathbb{R})$ is compact
A Real Algebra Perspective on Multivariate Tight Wavelet Frames ( )
1 edition published in 2012 in German and held by 1 WorldCat member library worldwide
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.78 (from 0.00 for A real alg ... to 0.85 for Real and E ...)
English (20)
German (11)