Generic Initial Ideals and Exterior Algebraic Shifting of Join of Simplicial Complexes
نویسنده
چکیده
The relation between algebraic shifting and join which was conjectured by Nevo [8] is studied. Let σ ∗ τ denote a join of two simplicial complexes σ and τ . Let ∆(σ) denote the exterior algebraic shifting of a simplicial complex σ. In the present paper, we will prove ∆(σ ∗ τ) ≤L ∆(∆(σ) ∗∆(τ)).
منابع مشابه
Generic Initial Ideals and Exterior Algebraic Shifting of the Join of Simplicial Complexes
In this paper, the relation between algebraic shifting and join which was conjectured by Eran Nevo will be proved. Let σ and τ be simplicial complexes and σ ∗ τ their join. Let Jσ be the exterior face ideal of σ and ∆(σ) the exterior algebraic shifted complex of σ. Assume that σ ∗ τ is a simplicial complex on [n] = {1, 2, . . . , n}. For any d-subset S ⊂ [n], let m revS(σ) denote the number of ...
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تاریخ انتشار 2005