5 search results - page 1 / 1 » Deformations of Coxeter Hyperplane Arrangements |
JCT
2000
13 years 10 months ago
2000
JCT
2007
13 years 10 months ago
2007
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
COMBINATORICS
2004
13 years 10 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
EJC
2007
13 years 10 months ago
2007
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
DCG
1999
13 years 10 months ago
1999
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...