Results 1 to 10 of about 1,506,998 (305)
Construction of algebraic covers
Let $Y$ be an algebraic variety, $\mathcal{F}$ a locally free sheaf of $\mathcal{O}_Y$-modules, and $\mathcal{R}(\mathcal{F})$ the $\mathcal{O}_Y$-algebra $\operatorname{Sym}^\bullet \mathcal{F}$. In this paper we study local properties of sheaves of $\mathcal{O}_{\mathcal{R}(\mathcal{F})}$-ideals $\mathcal{I}$ such that $\mathcal{R}(\mathcal{F ...
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The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S,nL) where L is an ample base point free divisor defining a covering map φL: S -> P2 such that φ*OS = OP2 O \ud Ω1P2 O Ω1P2 O Op2(-3). This is an abelian surface with a polarization of type (1,3) which was studied before in [BL94, Cas99, Cas12].\ud \ud ...
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Coverings of foliation algebras
This article is devoted to the geometric construction which states a natural correspondence between topological coverings of a foliated manifolds and noncommutative coverings of the operator algebras. However this correspondence is not one to one because there are noncommutaive coverings of foliations which do not comply with discussed in this article ...
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The lattice of C $^*$ -covers of an operator algebra
Abstract In this article, it is shown that the lattice of C $^*$ -covers of an operator algebra does not contain enough information to distinguish operator algebras up to completely isometric isomorphism. In addition, four natural equivalences of the lattice of C $^*$ -covers are developed and ...
Adam Humeniuk, Christopher Ramsey
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A unified approach of catastrophic events [PDF]
Although there is an accumulated charge of theoretical, computational, and numerical work, like catastrophe theory, bifurcation theory, stochastic and deterministic chaos theory, there is an important feeling that these matters do not completely cover ...
S. Nikolopoulos +3 more
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Polynomial Table Algebras and Their Covering Numbers
A table algebra \((A,\mathbb{B})\) with \(\mathbb{B}=\{\chi_0=1_A,\chi_1,\dots,\chi_k\}\) is a polynomial table algebra if there is an algebra isomorphism \(\psi:A\to\mathbb{C}[\lambda]/(f(\lambda))\), \(f(\lambda)\in\mathbb{C}[\lambda]\), such that the degrees of \(\psi(\chi_0),\psi(\chi_1),\dots,\psi(\chi_k)\) in \(\mathbb{C}[\lambda]/(f(\lambda ...
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MINIMAL CLOZ-COVERS AND BOOLEAN ALGEBRAS
Summary: In this paper, we first show that for any space \(X\), there is a Boolean subalgebra \(\mathcal{G}(z_X)\) of \(R(X)\) containg \(\mathcal{G}(X)\). Let \(X\) be a strongly zero-dimensional space such that \(z_\beta^{-1}(X)\) is the minimal cloz-cover of \(X\), where \((E_{cc}(\beta X),\, z_\beta)\) is the minimal cloz-cover of \(\beta X\).
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Modular intersections, time interval algebras and emergent AdS2
We compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari +3 more
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A universal algebraic approach to rack coverings
We study rack and quandle coverings from a universal algebraic viewpoint. We show how coverings can be understood using the concept of strongly abelian congruences. We provide an abstract characterization of several particular types of covering extensions, such as central and abelian ones. We present a new characterization of simply connected quandles
Marco Bonatto, David Stanovský
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Coverings of a projective algebraic manifold [PDF]
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