Arrangements of HyperplanesSpringer-Verlag, 1992 - 325页 |
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共有 84 个结果,这是第 1-3 个
第27页
... Recall that A is essential if and only if it contains linearly indepen- dent hyperplanes . For a central arrangement , this is equivalent to the condi- tion T ( A ) { 0 } . The braid arrangement is not essential ; T ( A ) is the line ...
... Recall that A is essential if and only if it contains linearly indepen- dent hyperplanes . For a central arrangement , this is equivalent to the condi- tion T ( A ) { 0 } . The braid arrangement is not essential ; T ( A ) is the line ...
第70页
... recall the basic notation and properties of the coning construction from Definition 1.15 and Proposition 2.17 . Let Q ( A ) Є S = K [ x1 , ... , x , ] be a defining polynomial of A and let Q'Є K [ 0 , 1 , ... , Te ] be the polynomial Q ...
... recall the basic notation and properties of the coning construction from Definition 1.15 and Proposition 2.17 . Let Q ( A ) Є S = K [ x1 , ... , x , ] be a defining polynomial of A and let Q'Є K [ 0 , 1 , ... , Te ] be the polynomial Q ...
第142页
... Recall the map 7 : T → T of Definition 3.105 . If x E Cp , then 7 ( x ) = 8 , ( x ) and 8 ( x ) = 81 ( x ) + ··· + Ep - 1 ( x ) . Recall the K - algebra B = B ( A ) of Section 3.4 and note that BCC . Lemma 4.111 ( 1 ) The elements of B ...
... Recall the map 7 : T → T of Definition 3.105 . If x E Cp , then 7 ( x ) = 8 , ( x ) and 8 ( x ) = 81 ( x ) + ··· + Ep - 1 ( x ) . Recall the K - algebra B = B ( A ) of Section 3.4 and note that BCC . Lemma 4.111 ( 1 ) The elements of B ...
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常见术语和短语
A₁ affine arrangement algebra A(A arrangement and let assume b₁ basic derivations basic invariants basis for D(A braid arrangement broken circuit central arrangement chain complex choose cohomology complement complex reflection groups complexification compute Corollary Coxeter group defining polynomial Definition deformation retraction degree denote dependent exact sequence Example exterior algebra exterior product fiber finite follows from Lemma follows from Proposition follows from Theorem formula free arrangement free with exp G-orbit graded K-module graph H₁ H₂ homogeneous homotopy type hyperplanes inductively free integers irreducible isomorphism K-algebra ker(x l-arrangement lattice Lemma Let G linear linearly independent matrix maximal element Möbius function modular elements module N¹(A nonempty Note Orbits Poincaré polynomial poset Proof prove real arrangement Recall reflection arrangement restriction result Saito's criterion 4.19 Section Shephard groups simplicial subset subspace supersolvable supersolvable arrangement Suppose surjective vertex w₁ write x-independent