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RANDOM WALKS AND HYPERPLANE ARRANGEMENTS。
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。
A type of the Lefschetz hyperplane section theorem on \Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities
Lefschetz hyperplane section theorem Algebraic Geometry
2011/9/23
Abstract: We prove a type of the Lefschetz hyperplane section theorem on Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities by using some degeneration method. As a byproduct, we obta...
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...
Hyperplane sections and the subtlety of the Lefschetz properties
Monomial ideal lifting Lefschetz properties hyperplane section
2011/1/21
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.
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...
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...
Triangle-Free Triangulations, Hyperplane Arrangements and Shifted Tableaux
Triangle-Free Triangulations Hyperplane Arrangements Shifted Tableaux
2010/12/6
Flips of diagonals in colored triangle-free triangulations of a convex polygon are interpreted as moves between two adjacent chambers in a certain graphic hyperplane arrangement. Properties of geodesi...
Hyperplane Intercept Vector Calibration Method in Grey Analytical Systems
Hyperplane Intercept Vector Calibration Method Analytical Systems
2010/9/20
A novel vector calibration method, hyperplane intercept, is proposed for grey analytical systems to resolve the concentrations of the chemical components from the multi-component data gained from atte...