2 citations · 5 across the 12 of their papers we have counts for
4 papers · 1 filter
On Virtually Cohen-Macaulay Simplicial Complexes
Nathan Kenshur, Feiyang Lin, Sean McNally +2
We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtuall…
Completions of Uncountable Local Rings with Countable Spectra
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…
Completions of Countable Excellent Domains and Countable Noncatenary Domains
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…
Gonality sequences of graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
To any graph we associate a sequence of integers called the gonality sequence of the graph, consisting of the minimum degrees of divisors of increasing rank on the graph. This is a…