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
semanticscholar +4 more sources
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
semanticscholar +5 more sources
Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 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
semanticscholar +8 more sources
Algebraic geometry and local differential geometry [PDF]
Annales scientifiques de l'École normale supérieure, 1979 Phillip Griffiths, Joseph Harris
semanticscholar +4 more sources
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
semanticscholar +7 more sources
The fundamental theorem of tropical partial differential algebraic geometry [PDF]
Proceedings of the 45th 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
semanticscholar +5 more sources
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
core +2 more sources
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
core +2 more sources
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
openalex +3 more sources
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
semanticscholar +1 more source