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Face numbers of generalized balanced Cohen-Macaulay complexes

✍ Scribed by Jonathan Browder; Isabella Novik


Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
305 KB
Volume
31
Category
Article
ISSN
0209-9683

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πŸ“œ SIMILAR VOLUMES


Cohen-Macaulay Types of Cohen-Macaulay C
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We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal \((x, y)\) of \(P^{*}\) with \(\mu_{p}(x, y) \neq 0\) is doubly Cohen-Macaulay. For example, if \(L=P^{\wedge}\) is a modular lattice, then the Cohen-Macaulay poset \(P\) is superior. We present a formula

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For a Noetherian local ring R, if R/a is Cohen-Macaulay, then the ideal a can be generated by at most (e -2)(Ξ½d -1) + 2 elements, where Ξ½ is the embedding dimension of R and where d and e 3 are the dimension and the multiplicity of R/a, respectively. This bound is in general much sharper than the bo

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Many combinatorial polynomials are related to rank-generating functions of Cohen-Macaulay complexes; notable among these are reliability, chromatic, flow, Birkhoff, and order polynomials. We prove two analytic theorems on the location of zeros of polynomials which have direct applications to the ran