Results 91 to 100 of about 1,716 (199)

A physical basis for cosmological correlators from cuts

Journal of High Energy Physics
Significant progress has been made in our understanding of the analytic structure of FRW wavefunction coefficients, facilitated by the development of efficient algorithms to derive the differential equations they satisfy.
Shounak De, Andrzej Pokraka
doaj   +1 more source

The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

, 2008
We present a theory that produces several examples where the homotopy Lie algebra of a complex hyperplane arrangement is not finitely presented. We also present examples of hyperplane arrangements where the enveloping algebra of this Lie algebra has an ...
Roos, Jan-Erik,
core  

Multivariate splines and hyperplane arrangements

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren-Hong Wang 0001, Mian Li, Chun-Gang Zhu   +2 more
openaire   +1 more source

Jumping Numbers of Hyperplane Arrangements [PDF]

Communications in Algebra, 2010
M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the ...
openaire   +2 more sources

Hyperplane arrangement cohomology and monomials in the exterior algebra

, 2015
: We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X.
Sorin Popescu, Sergey Yuzvinsky, David Eisenbud   +2 more
core  

A combinatorial statistic for labeled threshold graphs [PDF]

Enumerative Combinatorics and Applications, 2021
Priyavrat Deshpande, Krishna Menon, Anurag Singh   +2 more
doaj  

BRUHAT ORDER, SMOOTH SCHUBERT VARIETIES, AND HYPERPLANE ARRANGEMENTS

, 2007
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement.
Oh, Suho, Yoo, Hwanchul, Hwanchul Yoo, Suho Oh, Postnikov, Alexander, Alexander Postnikov   +5 more
core   +1 more source

Hyperplane arrangements

, 2014
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur de monodromie sur ses groupes de cohomologie. On s'intéresse à la problématique suivante : peut-on déterminer l'opérateur de monodromie, ou au moins les ...
Bailet, Pauline
core  

The face lattice of hyperplane arrangements

Discrete Mathematics, 1988
A finite set \({\mathcal H}\) of hyperplanes in \({\mathbb{R}}^ d\) is called an arrangement. It determines a partition of \({\mathbb{R}}^ d\) into open topological cells, the face lattice \(L({\mathcal H})\) of which is studied by the author. He shows \(L({\mathcal H})\) to be shellable. To \({\mathcal H}\) there is assigned a zonotope \(\tilde Z\) in
openaire   +2 more sources

Electrical networks and hyperplane arrangements

Advances in Applied Mathematics, 2019
This paper studies \emph{Dirichlet arrangements}, a generalization of graphic hyperplane arrangements arising from electrical networks and order polytopes of finite posets. We generalize descriptions of combinatorial features of graphic arrangements to Dirichlet arrangements, including characteristic polynomials and supersolvability.
openaire   +4 more sources