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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
Algebraic branch points at all loop orders from positive kinematics and wall crossing
Journal of High Energy Physics, 2021 There is a remarkable connection between the boundary structure of the positive kinematic region and branch points of integrated amplitudes in planar N $$ \mathcal{N} $$ = 4 SYM.
Aidan Herderschee
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Singular solutions in soft limits
Journal of High Energy Physics, 2020 A generalization of the scattering equations on X (2, n), the configuration space of n points on ℂℙ1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors.
Freddy Cachazo, Bruno Umbert, Yong Zhang
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Tropical Grassmannians, cluster algebras and scattering amplitudes
Journal of High Energy Physics, 2020 We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose
James Drummond +3 more
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Batteries &Supercaps, Volume 6, Issue 1, January 2023., 2023 We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn +3 more
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Towards analytic structure of Feynman parameter integrals with rational curves
Journal of High Energy Physics, 2022 We propose a strategy to study the analytic structure of Feynman parameter integrals where singularities of the integrand consist of rational irreducible components.
Jianyu Gong, Ellis Ye Yuan
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Anyons in geometric models of matter
Journal of High Energy Physics, 2017 We show that the “geometric models of matter” approach proposed by the first author can be used to construct models of anyon quasiparticles with fractional quantum numbers, using 4-dimensional edge-cone orbifold geometries with orbifold singularities ...
Michael Atiyah, Matilde Marcolli
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Yano F structures and extended supersymmetry
Journal of High Energy Physics, 2022 It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold ...
Ulf Lindström
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Constraints on sequential discontinuities from the geometry of on-shell spaces
Journal of High Energy Physics, 2023 We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints follow from a geometric formulation of the Landau equations that was advocated by Pham, in which the ...
Holmfridur S. Hannesdottir +3 more
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Scattering equations: from projective spaces to tropical grassmannians
Journal of High Energy Physics, 2019 We introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on ℂℙ1, to higher-dimensional projective spaces ℂℙ k − 1.
Freddy Cachazo +3 more
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