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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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 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.
Jason P. Bell +3 more
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Algebraic Structures and Differential Geometry in 2D String Theory [PDF]
, 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]
, 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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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.
Fabbri, Ricardo, Kimia, Benjamin
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Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations [PDF]
, 2004 We construct a sheaf-theoretic representation of quantum observables algebras over a base category equipped with a Grothendieck topology, consisting of epimorphic families of commutative observables algebras, playing the role of local arithmetics in ...
Elias Zafiris
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Finiteness theorems on hypersurfaces in partial differential-algebraic geometry [PDF]
, 2016 James Freitag, Rahim Moosa
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Algebraic geometry and local differential geometry [PDF]
, 1979 Phillip Griffiths, Joseph Harris
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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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Index Reduction for Degenerated Differential-Algebraic Equations by Embedding [PDF]
arXiv.org, 2022 . To find consistent initial data points (witness points) for a system of differential-algebraic equations, requires the identification of its missing (hidden) constraints arising from differentiation of the system.
Wenqiang Yang, Wenyuan Wu, G. Reid
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