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. to the projective line) admits a maximal image whose binding group is an abelian variety.
Rémi Jaoui, Rahim Moosa
openalex +3 more sources
Non-smooth differential geometry and algebras of generalized functions [PDF]
Journal of Mathematical Analysis and Applications, 2003 17 pages, typos ...
Michael Kunzinger
openalex +4 more sources
On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]
, 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
openalex +5 more sources
Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 2017 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. In this article a complete answer is given to this question using techniques from differential-algebraic geometry
Bell, Jason +3 more
openaire +7 more sources
Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]
Journal of Geometry and Physics, 1998 16 pages Latex, No figures.
Jonathan Gratus
openalex +5 more sources
Lie Algebras : Classifications, Deformations, Rigidity and Differential Geometry [PDF]
, 2008 In ...
Michel Goze
openalex +3 more sources
Graded q-differential algebras and algebraic models in noncommutative geometry
, 2011 Väitekirja uurimisvaldkonnaks on diferentsiaalgeomeetria. Diferentsiaalgeomeetria keskseteks mõisteteks on koahelate kompleks ja selle kohomoloogiad. Näiteks, siledal muutkonnal on määratud diferentsiaalvormide kompleks, mille kohomoloogiad on muutkonna topoloogia analüütiliseks karakteristikuks. Kohomoloogia mõiste baseerub diferentsiaali omadusel, et
Olga Liivapuu
openalex +2 more sources
Formal differential geometry and Nambu-Takhtajan algebra [PDF]
Banach Center Publications, 1997 YURI L. DALETSKII, Vitaly Kushnirevitch
openalex +2 more sources
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. MacAdam previously showed that differential bundles in the tangent category of smooth manifolds are precisely smooth vector bundles.
Cruttwell, G. S. H. +1 more
openaire +3 more sources
Current Algebra and Differential Geometry
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Alekseev, Anton, Strobl, Thomas
openaire +4 more sources