Results 71 to 80 of about 2,492,523 (198)

Enumerative Real Algebraic Geometry [PDF]

, 2002
This is a pre-published version harvested from ArXiv.org. The published version can be found at http://dimacs.rutgers.edu/Volumes/Vol60.htmlEnumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations ...
Sottile, Frank
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Hyperbolic geometry and amplituhedra in 1+2 dimensions

Journal of High Energy Physics, 2018
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkani-Hamed et al.
G. Salvatori, S. L. Cacciatori
doaj   +1 more source

Differential algebra and algebraic groups

, 1973
Differential Algebra & Algebraic Groups.Includes bibliographical references and index.Print version record.Algebraic preliminaries -- Basic notions of differential algebra -- Differential fields -- The basis theorem and some related topics -- Algebraic ...
Kolchin, E R, Kolchin, E. R.(Ellis Robert),   +1 more
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The Geometry of T-Varieties

, 2012
The Wroński determinant (Wrońskian), usually introduced in standard courses in Ordinary Differential Equations (ODE), is a very useful tool in algebraic geometry to detect ramification loci of linear systems.
Nathan Ilten, Ilten, Nathan Owen, Süß, Hendrik, Vollmert, R., Scherbak I., Hendrik Süß, Altmannk, K., Vollmert, Robert, Suess, Hendrik, GATTO, Letterio, Petersen, L., Süß, H., Petersen, Lars, Robert Vollmert, Lars Petersen, I. Scherbak, Klaus Altmann, Altmann, Klaus, L. Gatto, Ilten, N.   +19 more
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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

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
doaj   +1 more source

Maximal cuts in arbitrary dimension

Journal of High Energy Physics, 2017
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
doaj   +1 more source

On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry

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.
Boulier, Francois, Falkensteiner, Sebastian, Leon Sanchez, Omar; id_orcid, Noordman, Marc Paul   +3 more
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Selected papers on number theory, algebraic geometry, and differential geometry

, 1994
This book presents papers that originally appeared in the Japanese journal Sugaku.
Nomizu, Katsumi
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Algebraic causality : Bayes nets and beyond [PDF]

, 2007
The relationship between algebraic geometry and the inferential framework of the Bayesian Networks with hidden variables has now been fruitfully explored and exploited by a number of authors.
Riccomagno, Eva, Smith, J. Q.
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