Results 51 to 60 of about 9,834 (320)

Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]

Transactions of the American Mathematical Society, 2010
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s ...
X. Gao, Wei Li, C. Yuan
semanticscholar   +1 more source

Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation

Journal of High Energy Physics, 2017
A number of irreducible master integrals for L-loop sunrise and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via the Mellin-Barnes representation.
Mikhail Yu. Kalmykov, Bernd A. Kniehl
doaj   +1 more source

Algebraic surfaces, four-folds and moonshine

Journal of High Energy Physics, 2019
The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.
Kimyeong Lee, Matthieu Sarkis
doaj   +1 more source

Differential Signatures of Algebraic Curves [PDF]

SIAM Journal on applied algebra and geometry, 2018
In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups.
I. Kogan, Michael Ruddy, C. Vinzant
semanticscholar   +1 more source

An etude on recursion relations and triangulations

Journal of High Energy Physics, 2019
Following [1], we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint ϕ 3 theory.
Song He, Qinglin Yang
doaj   +1 more source

Geodesics in the extended Kähler cone of Calabi-Yau threefolds

Journal of High Energy Physics, 2022
We present a detailed study of the effective cones of Calabi-Yau threefolds with h 1,1 = 2, including the possible types of walls bounding the Kähler cone and a classification of the intersection forms arising in the geometrical phases.
Callum R. Brodie, Andrei Constantin, Andre Lukas, Fabian Ruehle   +3 more
doaj   +1 more source

Adjoint orbits, generalised parallelisable spaces and consistent truncations

Journal of High Energy Physics, 2019
The aim of this note is to present some new explicit examples of O(d, d)generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits O $$ \mathcal{O} $$ of some semi-simple Lie group G.
Louise Anderson
doaj   +1 more source

Rationality in Differential Algebraic Geometry [PDF]

, 2015
Abel Symposium ...
openaire   +3 more sources

Twisted Quadrics and Algebraic Submanifolds in $\mathbb {R}^{n}$ [PDF]

Mathematical physics, analysis and geometry, 2020
We propose a general procedure to construct noncommutative deformations of an algebraic submanifold M of $\mathbb {R}^{n}$ ℝ n , specializing the procedure [G. Fiore, T.
G. Fiore, D. Franco, T. Weber
semanticscholar   +1 more source

Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra

Journal of High Energy Physics, 2020
Stringy canonical forms are a class of integrals that provide α′-deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebras, there exist completely rigid stringy integrals, whose configuration spaces
Song He, Zhenjie Li, Prashanth Raman, Chi Zhang   +3 more
doaj   +1 more source