Results 11 to 20 of about 410 (45)
Deformation quantization on varieties with singularities offers perspectives that are not found on manifolds. Essential deformations are classified by the Harrison component of Hochschild cohomology, that vanishes on smooth manifolds and reflects ...
A.M. Garsia +16 more
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Noncommutative Tsen's theorem in dimension one [PDF]
Let k be a field. In this paper, we find necessary and sufficient conditions for a noncommutative curve of genus zero over k to be a noncommutative P^1-bundle. This result can be considered a noncommutative, one-dimensional version of Tsen's theorem.
Nyman, A.
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Weingarten integration over noncommutative homogeneous spaces [PDF]
We discuss an extension of the Weingarten formula, to the case of noncommutative homogeneous spaces, under suitable "easiness" assumptions. The spaces that we consider are noncommutative algebraic manifolds, generalizing the spaces of type $X=G/H\subset ...
Banica, Teodor
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From exceptional collections to motivic decompositions via noncommutative motives [PDF]
Making use of noncommutative motives we relate exceptional collections (and more generally semi-orthogonal decompositions) to motivic decompositions. On one hand we prove that the Chow motive M(X) of every smooth proper Deligne-Mumford stack X, whose ...
Marcolli, Matilde, Tabuada, Goncalo
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On the periodic solutions of certain fourth and fifth order vector differential equations [PDF]
The aim of the present paper is to establish some sufficient conditions which ensure that equations (1.1) and (1.2) have no periodic solution other than the trivial solution X ...
E. Tunç
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In the noncommutative geometry of Artin, Van den Bergh, and others, the twisted homogeneous coordinate ring is one of the basic constructions. Such a ring is defined by a $\sigma$-ample divisor, where $\sigma$ is an automorphism of a projective scheme X.
Keeler, Dennis S.
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Rational points on varieties and Morita equivalences of $C^*$-algebras
Let $V(k)$ be a projective variety over a number field $k\subset\mathbf{C}$ and let $\mathscr{A}_V$ be the Serre $C^*$-algebra of $V(k)$. We construct a functor $F: V(k)\mapsto \mathscr{A}_V$, such that the $\mathbf{C}$-isomorphic ($k$-isomorphic, resp.)
Nikolaev, Igor
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Linear regulator design for stochastic systems by a multiple time scales method [PDF]
Bibliography: leaves 10-11.NASA Grant NGL-22-009-124, and ERDA Grant ERDA-E(49)-2087.Demosthenis Teneketzis, Nils R.
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Singular curves and quasi-hereditary algebras
In this article we construct a categorical resolution of singularities of an excellent reduced curve $X$, introducing a certain sheaf of orders on $X$. This categorical resolution is shown to be a recollement of the derived category of coherent sheaves ...
Burban, Igor +2 more
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On Complex Manifolds and Observable Schemes [PDF]
We work out the construction of a Stein manifold from a commutative Arens-Michael algebra, under assumptions that are mild enough for the process to be useful in practice.
Le-Bert, Rodrigo Vargas
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