Results 81 to 90 of about 164,069 (206)

Algebraic geometry and local differential geometry [PDF]

Annales scientifiques de l'École normale supérieure, 1979
Griffiths, Phillip, Harris, Joseph
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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.
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Discrete differential geometry and cluster algebras via TCD maps

, 2023
DFG, 195170736, TRR 109: Diskretisierung in Geometrie und ...
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Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version) [PDF]

, 2020
Youssef Abdelaziz, S. Boukraa, Christoph Koutschan, J-M Maillard   +3 more
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Intersection numbers, polynomial division and relative cohomology

Journal of High Energy Physics
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the ...
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti, Hjalte Frellesvig, Manoj K. Mandal, Pierpaolo Mastrolia   +5 more
doaj   +1 more source

On the classical geometry of embedded surfaces in terms of Poisson brackets

, 2010
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many aspects of their differential geometry can be expressed in terms of a Poisson algebraic structure on the space of smooth functions of the surface.
Arnlind, Joakim, Hoppe, Jens, Huisken, Gerhard   +2 more
core  

T-duality of emergent gravities on nilmanifolds

Journal of High Energy Physics
We study the transport of generalized metrics between topological T-dual nil-manifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields.
Raju Roychowdhury, Leonardo Soriani
doaj   +1 more source

Bertini theorems for differential algebraic geometry [PDF]

, 2016
James Freitag
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Reductions of GKZ systems and applications to cosmological correlators

Journal of High Energy Physics
A powerful approach to computing Feynman integrals or cosmological correlators is to consider them as solution to systems of differential equations. Often these can be chosen to be Gelfand-Kapranov-Zelevinsky (GKZ) systems.
Thomas W. Grimm, Arno Hoefnagels
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Six lectures on model theory and differential-algebraic geometry

, 2022
This is a write-up of some lectures I gave in the Fall of 2021 at the Fields Institute in Toronto, as part of the Thematic Programme on Trends in Pure and Applied Model Theory. The goal of the module was to give a quick introduction to the model theory of differential fields that puts differential-algebraic geometry at the center.
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