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20162018
most citedOn the diameter of dual graphs of Stanley-Reisner rings with Serre property and Hirsch type bounds on abstractions of polytopes

2 citations · 3 across the 2 of their papers we have counts for

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math.CO2017★ 1 cited

Higher Nerves of Simplicial Complexes

Hailong Dao, Joseph Doolittle, Ken Duna +3

We investigate generalized notions of the nerve complex for the facets of a simplicial complex. We show that the homologies of these higher nerve complexes determine the depth of t…

math.AC2017

A Generalized Serre's Condition

Brent Holmes

Throughout, let be a commutative Noetherian ring. A ring satisfies Serre's condition if for all $P \in \Spec R,$ $\depth R_P \geq \min \{ \ell , \dim R_P \}$.…