Random Flag Complexes and Asymptotic Syzygies
Commutative Algebra
2019-03-19 v2 Algebraic Geometry
Combinatorics
Abstract
We use the probabilistic method to construct examples of conjectured phenomenon about asymptotic syzygies. In particular, we use the Stanley-Reisner ideals of random flag complexes to construct new examples of Ein and Lazarsfeld's nonvanishing for asymptotic syzygies and of Ein, Erman, and Lazarsfeld's conjectural on the asymptotic normal distribution of Betti numbers.
Cite
@article{arxiv.1706.01488,
title = {Random Flag Complexes and Asymptotic Syzygies},
author = {Daniel Erman and Jay Yang},
journal= {arXiv preprint arXiv:1706.01488},
year = {2019}
}
Comments
15 pages