5 search results - page 1 / 1 » Deformations of Coxeter Hyperplane Arrangements |
JCT
2000
13 years 4 months ago
2000
JCT
2007
13 years 4 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 4 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 4 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 4 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...