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Author: Adam Nyman
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 180
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Book Description
Author: Adam Nyman
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 180
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Book Description
Author:
Publisher: American Mathematical Soc.
ISBN: 0821834959
Category :
Languages : en
Pages : 154
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Book Description
Author: Adam Nyman
Publisher: American Mathematical Soc.
ISBN: 9780821865170
Category : Mathematics
Languages : en
Pages : 162
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Book Description
The use of geometric invariants has recently played an important role in the solution of classification problems in non-commutative ring theory. We construct geometric invariants of non-commutative projectivizataions, a significant class of examples in non-commutative algebraic geometry. More precisely, if $S$ is an affine, noetherian scheme, $X$ is a separated, noetherian $S$-scheme, $\mathcal{E}$ is a coherent ${\mathcal{O}}_{X}$-bimodule and $\mathcal{I} \subset T(\mathcal{E})$ is a graded ideal then we develop a compatibility theory on adjoint squares in order to construct the functor $\Gamma_{n}$ of flat families of truncated $T(\mathcal{E})/\mathcal{I}$-point modules of length $n+1$. For $n \geq 1$ we represent $\Gamma_{n}$ as a closed subscheme of ${\mathbb{P}}_{X^{2}}({\mathcal{E}}^{\otimes n})$. The representing scheme is defined in terms of both ${\mathcal{I}}_{n}$ and the bimodule Segre embedding, which we construct. Truncating a truncated family of point modules of length $i+1$ by taking its first $i$ components defines a morphism $\Gamma_{i} \rightarrow \Gamma_{i-1}$ which makes the set $\{\Gamma_{n}\}$ an inverse system. In order for the point modules of $T(\mathcal{E})/\mathcal{I}$ to be parameterizable by a scheme, this system must be eventually constant. In [20], we give sufficient conditions for this system to be constant and show that these conditions are satisfied when ${\mathsf{Proj}} T(\mathcal{E})/\mathcal{I}$ is a quantum ruled surface. In this case, we show the point modules over $T(\mathcal{E})/\mathcal{I}$ are parameterized by the closed points of ${\mathbb{P}}_{X^{2}}(\mathcal{E})$.
Author: Denis V. Osin
Publisher: American Mathematical Soc.
ISBN: 0821838210
Category : Mathematics
Languages : en
Pages : 114
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In this the authors obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows them to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric properties of ordinary hyperbolic groups. There is also an introduction and study of the notion of a relatively quasi-convex subgroup of a relatively hyperbolic group and solve somenatural algorithmic problems.
Author: Marc Aristide Rieffel
Publisher: American Mathematical Soc.
ISBN: 0821835181
Category : Mathematics
Languages : en
Pages : 106
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By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di
Author: Stefano Pigola
Publisher: American Mathematical Soc.
ISBN: 0821836390
Category : Mathematics
Languages : en
Pages : 118
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Book Description
Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Author:
Publisher: American Mathematical Soc.
ISBN: 0821834452
Category :
Languages : en
Pages : 102
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 682
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Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821834916
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.
Author: Benoît Mselati
Publisher: American Mathematical Soc.
ISBN: 0821835092
Category : Mathematics
Languages : en
Pages : 146
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Book Description
Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].
