Results 11 to 20 of about 160,813 (290)
Differential Bundles in Commutative Algebra and Algebraic Geometry
, 2023 In this paper, we explain how the abstract notion of a differential bundle in a tangent category provides a new way of thinking about the category of modules over a commutative ring and its opposite category. MacAdam previously showed that differential bundles in the tangent category of smooth manifolds are precisely smooth vector bundles.
G. S. H. Cruttwell +1 more
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Noncommutative differential geometry on crossed product algebras
Journal of Algebra, 2023 We provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
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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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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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An algebraic model of transitive differential geometry [PDF]
Bulletin of the American Mathematical Society, 1964 Victor Guillemin, Shlomo Sternberg
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Differential geometry of the Lie algebra of the quantum plane [PDF]
Czechoslovak Journal of Physics, 2005 11 pages, no ...
Salih Çelïk, Sultan A. Çelik
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Abelian reduction in differential-algebraic and bimeromorphic geometry
Annales de l'Institut FourierA 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. to the projective line) admits a maximal image whose binding group is an abelian variety.
Rémi Jaoui, Rahim Moosa
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Differential Geometry Revisited by Biquaternion Clifford Algebra [PDF]
, 2015 In the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras. Clifford algebras yield an excellent representation of the rotation group and of the Lorentz group which are the cornerstones of the theory of moving frames.
Patrick Girard +4 more
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Linear algebra and differential geometry on abstract Hilbert space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n‐dimensional vector spaces. However, while n‐dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as spaces of functions.
Alexey A. Kryukov
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Superconformal vertex algebras in differential geometry. I
, 2000 23 ...
Jian Zhou
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