搜索结果: 1-15 共查到“理学 Arrangements”相关记录24条 . 查询时间(0.047 秒)
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
RANDOM WALKS AND HYPERPLANE ARRANGEMENTS。
Random Walks and Plane Arrangements in Three Dimensions.
Functions of random walks on hyperplane arrangements
Random walk Hyperplane arrangement Subarrangement Eigenvalues Mixing rate Tsetlin library Inverse shu es Acyclic orientation Descent set
2015/7/7
Functions of random walks on hyperplane arrangements。
Abstract: We show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at ...
Generalized Lantern Relations and Planar Line Arrangements
Generalized Lantern Relations Planar Line Arrangements Geometric Topology
2011/8/24
Abstract: In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that...
Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements
hyperplane arrangement Milnor fiber monodromy polynomial-count
2011/1/19
A necessary and sufficient condition for the triviality of the Milnor monodromy of a central hyperplane arrangement is given. This is a consequence of a Thom-Sebastiani type result, where the sum of h...
Let W be a finite Weyl group and A be the corresponding Weyl arrangement. A deformation of A is an affine arrangement which is obtained by adding to each hyperplane H ∈ A several parallel trans-lation...
We give a necessary and sufficient condition in order for a hyperplane arrangement to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of loga...
Coxeter and crystallographic arrangements are inductively free
Coxeter crystallographic arrangements inductively free
2010/11/23
Using the classification of finite Weyl groupoids we prove that crystallographic arrangements, a large subclass of the class of simplicial arrangements which was recently defined, are hereditarily in...
Equivariant multiplicities of Coxeter arrangements and invariant bases
Equivariant multiplicities Coxeter arrangements invariant bases
2010/11/8
Let $\A$ be an irreducible Coxeter arrangement and $W$ be its Coxeter group. Then $W$ naturally acts on $\A$. A multiplicity $\bfm : \A\rightarrow \Z$ is said to be equivariant when $\bfm$ is constant...
On combinatorial invariance of the cohomology of Milnor fiber of arrangements and Catalan equation over function field
Milnor fiber arrangements Catalan equation function field
2010/11/8
We show that for arrangements of lines with points of multiplicity at most three, the cohomology of Milnor fiber is determined only by the combinatorics of arrangement. The proof depends on enumeratio...
The homotopy type of toric arrangements
Hyperplane arrangements toric arrangements CW-complex Salvetti complex
2010/12/8
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 homotopy equivalent to the arrang...
Line arrangements and direct sums of free groups
Line arrangements direct sums of free groups
2010/12/13
We show that if the fundamental groups of the complements of two line arrangements in the complex projective plane are isomorphic to the same direct sum of free groups, then the complements of the arr...
On intersection lattices of hyperplane arrangements generated by generic points
discriminantal arrangements M¨obius function characteristic polyno-mial enumeration of elements
2010/12/8
We consider hyperplane arrangements generated by generic points and study their intersection lattices. These arrangements are known to be equivalent to discriminantal arrangements. We show a fundament...