Results 101 to 110 of about 1,716 (199)
Hyperplane arrangements: computations and conjectures
Advanced Studies in Pure Mathematics, 2019 This paper provides an overview of selected results and open problems in the theory of hyperplane arrangements, with an emphasis on computations and examples. We give an introduction to many of the essential tools used in the area, such as Koszul and Lie algebra methods, homological techniques, and the Bernstein-Gelfand-Gelfand correspondence, all ...
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Jumping coefficients and spectrum of a hyperplane arrangement
, 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
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Bruhat Order and Coxeter Hyperplane Arrangements
, 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
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The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented
, 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,
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Point Location in Arrangements of Hyperplanes
Information and Computation, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orlik-Solomon algebras and Hyperplane Arrangements
, 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
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Erratum: Complements and higher resonance varieties of hyperplane arrangements
, 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
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Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements
, 2010 We link Schubert varieties in the generalized flag manifolds with hyperplane arrangements. For an element of a Weyl group, we construct a certain graphical hyperplane arrangement.
Oh, Suho, Yoo, Hwanchul
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The characteristic quasi-polynomials of hyperplane arrangements over residually finite Dedekind domains [PDF]
Enumerative Combinatorics and Applications, 2023 Masamichi Kuroda, Shuhei Tsujie
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Application of hyperplane arrangements to weight enumeration
, 2014 Many research in coding theory is focussed on linear error-correcting codes. Since these codes are subspaces, linear algebra plays a prominent role in studying them.
Jurrius, RPMJ Relinde +3 more
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