Results 11 to 20 of about 281,620 (316)
Rationality in Differential Algebraic Geometry [PDF]
, 2014 Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
J. Merker
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 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.
J. Bell +3 more
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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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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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An algebraic model of transitive differential geometry [PDF]
Bulletin of the American Mathematical Society, 1964 One of the basic assumptions that is frequently made in the study of geometry (or physics) is that of homogeneity. I t is assumed that any point can be moved into any other by a transformation preserving the underlying geometrical structure (e.g., by a ...
V. Guillemin, S. Sternberg
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Algebraic characterizations in complex differential geometry [PDF]
Transactions of the American Mathematical Society, 1935 1. In the treatment of differential geometry from the modern invariantive standpoint it is usually unnecessary that the coordinates and the functions which define the structure of the space under consideration be real quantities. Adopting the more general hypothesis of complex coordinates and structure functions we arrive at the concept of generalized ...
T. Y. Thomas
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Non-smooth differential geometry and algebras of generalized functions [PDF]
Journal of Mathematical Analysis and Applications, 2003 17 pages, typos ...
Michael Kunzinger
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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 ...
H. Grosse, G. Reiter
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C*algebras and differential geometry [PDF]
, 2001 Translated Comptes Rendus Note of March ...
Alain Connes
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Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]
Journal of Geometry and Physics, 1998 16 pages Latex, No figures.
Jonathan Gratus
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