Results 11 to 20 of about 677,938 (298)
Nonassociative algebras: a framework for differential geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
Lucian M. Ionescu
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Bertini theorems for differential algebraic geometry [PDF]
Proceedings of the American Mathematical Society, 2012 We study intersection theory for differential algebraic varieties. Particularly, we study families of differential hypersurface sections of arbitrary affine differential algebraic varieties over a differential field. We prove the differential analogue of
J. Freitag
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The Fundamental Theorem of Tropical Differential Algebraic Geometry [PDF]
Pacific Journal of Mathematics, 2015 Let $I$ be an ideal of the ring of Laurent polynomials $K[x_1^{\pm1},\ldots,x_n^{\pm1}]$ with coefficients in a real-valued field $(K,v)$. The fundamental theorem of tropical algebraic geometry states the equality $\text{trop}(V(I))=V(\text{trop}(I ...
F. Aroca +2 more
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C*algebras and differential geometry
, 2001 Translated Comptes Rendus Note of March ...
Alain Connes
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Bell, Jason +3 more
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Current Algebra and Differential Geometry [PDF]
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Anton Alekseev, Thomas Strobl
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2014 Brown and Gordon asked whether the Poisson Dixmier-Moeglin equivalence holds for any complex affine Poisson algebra; that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Jason P. Bell +3 more
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Graded differential geometry of graded matrix algebras [PDF]
Journal of Mathematical Physics, 1999 We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)×(n+m)-matrices with the “usual block matrix grading” (for n≠m). Beside the (infinite-dimensional) algebra of graded forms, the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and ...
Harald Grosse, G. Reiter
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Differential-algebraic jet spaces preserve internality to the constants [PDF]
Journal of Symbolic Logic (JSL), 2013 This paper concerns the model theory of jet spaces (i.e., higher-order tangent spaces) in differentially closed fields. Suppose p is the generic type of the jet space to a finite dimensional differential-algebraic variety at a generic point.
Chatzidakis, Zoe +2 more
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Geometry of differential operators, odd Laplacians, and homotopy algebras [PDF]
Journal of Nonlinear Mathematical Physics, 2004 We give a complete description of differential operators generating a given bracket. In particular we consider the case of Jacobi-type identities for odd operators and brackets. This is related with homotopy algebras using the derived bracket construction. (Based on a talk at XXII Workshop on Geometric Methods in Physics at Bialowieza)
H. M. Khudaverdian, Theodore Voronov
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