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math.AG2018
The tropical Cayley-Menger variety
Daniel Irving Bernstein, Robert Krone
The Cayley-Menger variety is the Zariski closure of the set of vectors specifying the pairwise squared distances between points in . This variety is fundamental t…
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…