Results 1 to 10 of about 281,620 (316)
Differential Bundles in Commutative Algebra and Algebraic Geometry
Theory and Applications of Categories, 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.
G. Cruttwell, J. Lemay
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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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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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Algebraic geometry and local differential geometry [PDF]
Annales scientifiques de l'École normale supérieure, 1979 P. Griffiths, J. Harris
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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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DIFFERENTIAL-ALGEBRAIC JET SPACES PRESERVE INTERNALITY TO THE CONSTANTS [PDF]
Journal of Symbolic Logic (JSL), 2013 Suppose p is the generic type of a differential-algebraic jet space to a finite dimensional differential-algebraic variety at a generic point. It is shown that p satisfies a certain strengthening of almost internality to the constants. This strengthening,
Z. Chatzidakis +2 more
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Multiview Differential Geometry of Curves
International Journal of Computer Vision, 2016 The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry.
R. Fabbri, B. Kimia
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Finiteness theorems on hypersurfaces in partial differential-algebraic geometry [PDF]
, 2016 J. Freitag, Rahim Moosa
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Jacobian problems in differential equations and algebraic geometry [PDF]
, 1982 G. Meisters
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The fundamental theorem of tropical partial differential algebraic geometry [PDF]
International Symposium on Symbolic and Algebraic Computation, 2020 Tropical Differential Algebraic Geometry considers difficult or even intractable problems in Differential Equations and tries to extract information on their solutions from a restricted structure of the input.
Sebastian Falkensteiner +5 more
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