Results 1 to 10 of about 155,998 (312)
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.Comment: Abel Symposium ...
A. Isaev +28 more
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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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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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Differential algebras in non-commutative geometry [PDF]
Journal of Geometry and Physics, 1995 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Wolfgang Kalau +3 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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Algebraic geometry and local differential geometry [PDF]
Annales scientifiques de l'École normale supérieure, 1979 Phillip Griffiths, Joseph Harris
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C*algebras and differential geometry
, 2001 Translated Comptes Rendus Note of March ...
Alain Connes
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Algebraic Structures and Differential Geometry in 2D String Theory [PDF]
Nuclear Physics B, 1992 A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto.
Alvarez-Gaumé +40 more
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An algebraic model of transitive differential geometry [PDF]
Bulletin of the American Mathematical Society, 1964 Victor Guillemin, Shlomo Sternberg
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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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