Arrangements of HyperplanesSpringer-Verlag, 1992 - 325页 |
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共有 31 个结果,这是第 1-3 个
第78页
... equal to ( -1 ) ( x ) μ ( X ) . Proof . The leading coefficient of π ( Аx , t ) is equal to ( −1 ) ′ ( X ) μ ( X ) . Since Poin ( A ( Ax ) , t ) = π ( Аx , t ) , it is also equal to rankAx ( Ax ) = rankAx ( A ) . ᄆ A - equivalence ...
... equal to ( -1 ) ( x ) μ ( X ) . Proof . The leading coefficient of π ( Аx , t ) is equal to ( −1 ) ′ ( X ) μ ( X ) . Since Poin ( A ( Ax ) , t ) = π ( Аx , t ) , it is also equal to rankAx ( Ax ) = rankAx ( A ) . ᄆ A - equivalence ...
第111页
... equal to l ( -1 ) / 2 , which is consistent with Proposition 4.26 . Example 4.33 Let A be the arrangement consisting of all hyperplanes through the origin in an l - dimensional vector space over a finite field of q elements , K = Fq ...
... equal to l ( -1 ) / 2 , which is consistent with Proposition 4.26 . Example 4.33 Let A be the arrangement consisting of all hyperplanes through the origin in an l - dimensional vector space over a finite field of q elements , K = Fq ...
第277页
... equal to the Krull di- mension . A ring R is said to be Cohen - Macaulay if the locaization at every maximal ideal is Cohen - Macaulay . The following three results [ 153 , Thms . 17.7 , 17.6 , 17.4 ] are fundamental concerning Cohen ...
... equal to the Krull di- mension . A ring R is said to be Cohen - Macaulay if the locaization at every maximal ideal is Cohen - Macaulay . The following three results [ 153 , Thms . 17.7 , 17.6 , 17.4 ] are fundamental concerning Cohen ...
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A₁ affine arrangement algebra A(A arrangement and let arrangements of hyperplanes assume b₁ basic invariants basis for D(A braid arrangement Brieskorn broken circuit central arrangement chain complex cohomology complement complex reflection groups complexification compute construction Corollary Coxeter group defining polynomial Definition deformation retraction denote dependent exact sequence Example exterior algebra fiber finite follows from Lemma follows from Proposition formula free arrangement free with exp graded K-module graph H₁ H₂ homogeneous homology homotopy type hyperplane arrangement hyperplanes inductively free integers irreducible isomorphism K-algebra ker(x l-arrangement lattice Lemma Let G linear linearly independent Math matrix maximal element Möbius function modular elements module nonempty Note Orbits Poincaré polynomial poset Proof prove real arrangement Recall reflection arrangement restriction result Section Shephard groups simplicial space subset subspace supersolvable supersolvable arrangement Suppose surjective topological vertex vertices w₁ write x-independent