2 papers
math.AC2020
Asymptotic Degree of Random Monomial Ideals
Lily Silverstein, Dane Wilburne, Jay Yang
One of the fundamental invariants connecting algebra and geometry is the degree of an ideal. In this paper we derive the probabilistic behavior of degree with respect to the versat…
math.AC2018
Average Behavior of Minimal Free Resolutions of Monomial Ideals
Jesús A. De Loera, Serkan Hoşten, Robert Krone +1
We describe the typical homological properties of monomial ideals defined by random generating sets. We show that, under mild assumptions, random monomial ideals (RMI's) will almos…