Results 111 to 120 of about 1,716 (199)
Group Actions on Hyperplane Arrangements
, 2012 In this dissertation, we will look at two families of algebras with connections to hyperplane arrangements that admit actions of finite groups. One of the fundamental questions to ask is how these decompose into irreducible representations. For the first
Moseley, Daniel
core
The homotopy type of toric arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
core
Projection volumes of hyperplane arrangements
, 2010 We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones is given by the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that this held
Caroline J. Klivans, Ed Swartz
core
A Breast Cancer Image Classification Algorithm with 2c Multiclass Support Vector Machine. [PDF]
J Healthc Eng, 2023 Wajeed MA +6 more
europepmc +1 more source
Hyperplane Arrangements And Linear Strands In Resolutions
this paper A stands for a central hyperplane arrangement of hyperplanes H 1 ; : : : ; H
Irena Peeva
core
On the monodromy of Milnor fibers of hyperplane arrangements
, 2014 10 pagesWe describe a general setting where the monodromy action on the first cohomology group of the Milnor fiber of a hyperplane arrangement is the ...
Bailet, Pauline
core +1 more source
Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
, 1998 Let A be a Coxeter hyperplane arrangement, that is the arrangement of reflecting hyperplanes of an irreducible finite Coxeter group. A deformation of A is an affine arrangement each of whose hyperplanes is parallel to some hyperplane of A. We survey some
Christos A. Athanasiadis
core
A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes. [PDF]
Algorithmica, 2023 Edelsbrunner H, Osang G.
europepmc +1 more source
The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core
Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries
We introduce a new algorithm computing the characteristic polynomials of hyperplane arrangements which exploits their underlying symmetry groups.
Kühne, Lukas +2 more
core +1 more source