Scheiderer, Claus 1959
Overview
Works:  8 works in 34 publications in 2 languages and 556 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
)
15 editions published in 1994 in English and held by 322 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
15 editions published in 1994 in English and held by 322 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
)
9 editions published in 1989 in German and held by 69 WorldCat member libraries worldwide
9 editions published in 1989 in German and held by 69 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
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 3 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 3 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 1 WorldCat member library worldwide
2 editions published in 2011 in English and held by 1 WorldCat member library worldwide
Zerocycles and cohomology on real algebraic varieties by
J.L ColliotThélène(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
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
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 0 WorldCat member libraries worldwide
1 edition published in 2012 in German and held by 0 WorldCat member libraries worldwide
Audience Level
0 

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Related Identities
 Knebusch, Manfred Author
 SpringerLink (Service en ligne)
 Putinar, Mihai 1955 Contributor
 Charina, Maria Author
 Stöckler, Joachim
 Schweighofer, Markus
 Burgdorf, Sabine Author
 Kuhlmann, Salma 1958
 ColliotThélène, JeanLouis Author
 Stöckler, Joachim Contributor
Associated Subjects