Results 1 to 10 of about 19,522 (183)
LECTURE NOTES ON NONCOMMUTATIVE ALGEBRAIC GEOMETRY AND NONCOMMUTATIVE TORI [PDF]
, 2008 The first part of these notes gives an introduction to noncommutative projective geometry after Artin--Zhang. The second part provides an overview of the work of Polishchuk that reconciles noncommutative two-tori having real multiplication with the Artin-
Snigdhayan Mahanta
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Noncommutative geometry of algebraic curves [PDF]
Proceedings of the American Mathematical Society, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Igor Nikolaev
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The Bell states in noncommutative algebraic geometry [PDF]
International Journal of Quantum Information, 2014 We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and noncommutative blowups. A matrix factorization of a polynomial $p$ consists of two matrices $\phi_1,\phi_2$ such that $\phi_1\phi_2 ...
Charlie Beil
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NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T) [PDF]
Journal of the Institute of Mathematics of Jussieu, 2014 It is well-known that a finitely generated group $\Gamma$ has Kazhdan's property (T) if and only if the Laplacian element $\Delta$ in ${\mathbb R}[\Gamma]$ has a spectral gap.
Narutaka Ozawa
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HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY [PDF]
Geometric and Topological Methods for Quantum Field Theory, 2003 Latex2e, 76 pages, lecture notes for the CIMPA Summer School in Villa de Leyva, Colombia, July 2001; minor corrections, 3 references ...
Joseph C. Várilly
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Geometry of noncommutative algebras [PDF]
Banach Center Publications, 2011 Let X be a scheme over an algebraically closed field k, and let x ∈ SpecR ⊆ X be a closed point corresponding to the maximal ideal m ⊆ R. Then OˆX,x is isomorphic to the prorepresenting hull, or local formal moduli, of the deformation functor DefR/m : → Sets. This suffices to reconstruct X up to etal´e coverings.
Eivind Eriksen, Arvid Siqveland
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Noncommutative algebraic geometry
Revista Matemática Iberoamericana, 2003 The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure.
Olav Arnfinn Laudal
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On a noncommutative algebraic geometry [PDF]
Banach Center Publications, 2015 Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.
Pierre Dolbeault
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Necklace Lie algebras and noncommutative symplectic geometry [PDF]
Mathematische Zeitschrift, 2000 Recently V. Ginzburg proved that Calogero phase space is a coadjoint orbit for some infinite dimensional Lie algebra coming from noncommutative symplectic geometry. In this note we generalize this argument to specific quotient varieties of representations of (deformed) preprojective algebras. This result was also obtained independently by V. Ginzburg.
Raf Bocklandt, Lieven Le Bruyn
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An algebraic formulation of causality for noncommutative geometry [PDF]
Classical and Quantum Gravity, 2013 We propose an algebraic formulation of the notion of causality for spectral triples corresponding to globally hyperbolic manifolds with a well defined noncommutative generalization.
Eckstein, Michał, Franco, Nicolas
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