Results 1 to 10 of about 276,684 (327)
Abelian reduction in differential-algebraic and bimeromorphic geometry [PDF]
Annales de l'Institut Fourier, 2022 A new tool for the model theory of differentially closed fields and of compact complex manifolds is here developed. In such settings, it is shown that a type internal to the field of constants (resp.
Rémi Jaoui, Rahim Moosa
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Algebraic geometry and local differential geometry [PDF]
Annales scientifiques de l'École normale supérieure, 1979 © Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1979, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www. elsevier.com/locate/ansens) implique l’accord avec les conditions générales
Phillip Griffiths, Joseph Harris
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Finiteness theorems on hypersurfaces in partial differential-algebraic geometry [PDF]
Advances in Mathematics, 2016 Hrushovski's generalization and application of [Jouanolou, "Hypersurfaces solutions d'une quation de Pfaff analytique", Mathematische Annalen, 232 (3):239--245, 1978] is here refined and extended to the partial differential setting with possibly nonconstant coefficient fields. In particular, it is shown that if $X$ is a differential-algebraic variety
James Freitag, Rahim Moosa
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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 ...
Victor Guillemin, Shlomo Sternberg
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Completeness in partial differential algebraic geometry
Journal of Algebra, 2014 Abstract This paper is part of the model theory of fields of characteristic 0, equipped with m commuting derivation operators ( DCF 0 , m ). It continues to partial differential fields work begun by Wai-Yan Pong, who treated the case m = 1 .
James Freitag
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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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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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On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]
Computer Algebra in Scientific Computing, 2021 This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the fundamental theorem of tropical differential ...
François Boulier +3 more
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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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