Results 91 to 100 of about 1,721 (200)

Hodge theory of abelian covers of algebraic varieties

Forum of Mathematics, Sigma
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic varieties with a canonical and functorial mixed Hodge structure (MHS ...
Eva Elduque, Moisés Herradón Cueto
doaj   +1 more source

k-Adjoint of hyperplane arrangements

Journal of Combinatorial Theory, Series A
In this paper, we introduce the $k$-adjoint of a given hyperplane arrangement $\mathcal{A}$ associated with rank-$k$ elements in the intersection lattice $L(\mathcal{A})$, which generalizes the classical adjoint proposed by Bixby and Coullard. The $k$-adjoint of $\mathcal{A}$ induces a decomposition of the Grassmannian, which we call the $\mathcal{A ...
Weikang Liang, Suijie Wang, Chengdong Zhao   +2 more
openaire   +2 more sources

Jumping coefficients and spectrum of a hyperplane arrangement [PDF]

, 2010
In an earlier version of this paper written by the second named author, we showed that the jumping coefficients of a hyperplane arrangement depend only on the combinatorial data of the arrangement as conjectured by Mustaţǎ.
Saito, Morihiko, Budur, Nero
core   +1 more source

Bruhat Order and Coxeter Hyperplane Arrangements [PDF]

, 2018
In the paper “Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements,” S. Oh and H. Yoo studied Schubert varieties in generalized flag manifolds by linking them with a certain hyperplane arrangement coming from the reflection ...
McAlmon, Robert
core  

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 [PDF]

, 2007
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 ofhyperplane 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

Orlik-Solomon algebras and Hyperplane Arrangements [PDF]

, 2009
This work fits into the topic of hyperplane arrangements; this is a widely studied subject involving many different areas of mathematics (combinatorics, commutative algebra, topology, group theory, representation theory, etc..).
D'ANTONIO, GIACOMO
core  

Erratum: Complements and higher resonance varieties of hyperplane arrangements [PDF]

, 2014
Hyperplane arrangements form the geometric counterpart of combinatorial objects such as matroids. The shape of the sequence of Betti numbers of the complement of a hyperplane arrangement is of particular interest in combinatorics, where they are known ...
Budur, Nero
core   +1 more source

Kinematic flow from the flow of cuts

Journal of High Energy Physics
The wavefunction coefficients of conformally coupled scalars in power-law FRW cosmologies satisfy differential equations governed by a set of simple combinatorial rules known as the kinematic flow.
Ross Glew, Andrzej Pokraka
doaj   +1 more source