Frobenius methods in combinatorics
Commutative Algebra
2022-03-21 v1
Abstract
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties, Stanley-Reisner rings, and initial ideals that were proven via Frobenius. We also discuss results for monomial ideals obtained using Frobenius-like maps. Finally, we present results for -pure rings that were inspired by work done for Stanley-Reisner rings.
Cite
@article{arxiv.2203.09902,
title = {Frobenius methods in combinatorics},
author = {Alessandro De Stefani and Jonathan Montaño and Luis Núñez-Betancourt},
journal= {arXiv preprint arXiv:2203.09902},
year = {2022}
}
Comments
35 pages