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Titlebook: Configuration Spaces; Geometry, Combinator A. Bjorner,F. Cohen,M. Salvetti Conference proceedings 2012 Scuola Normale Superiore Pisa 2012 a

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The contravariant form on singular vectors of a projective arrangement,r vectors of the projectivization. If ∑.a. = 0, this form is naturally isomorphic to the restriction to the space of singular vectors of the contravariant form of any affine arrangement obtained from . by dehomogenizing with respect to one of its hyperplanes.
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Lawrence P. Wackett,Lynda B. M. Ellis all irreducible non-spherical type Artin-Tits groups will have a trivial center; (3) if all free of infinity Artin-Tits groups have solutions to the word problem, then all Artin-Tits groups will have solutions to the word problem. Recall that an Artin-Tits group is free of infinity if its Coxeter graph has no edge labeled by ∞.
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Analytic continuation of a parametric polytope and wall-crossing,ne the theorem of Brion on generating functions of polytopes and their cones at vertices. We describe the relation of this work with the equivariant index of a line bundle over a toric variety and Morelli constructible support function.
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Conference proceedings 2012 in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.
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Marion Peyinghaus,Regina Zeitnerese results with some examples, and solve an open problem in [H. Kamiya, A. Takemura, H. Terao, Ranking patterns of unfolding models of codimension one, Adv. in Appl. Math. 47 (2011) 379–400] by using our results.
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