2022/03/18 by De Stefani, Alessandro, Montaño, Jonathan, Núñez-Betancourt, Luis
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2203.09902
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 F-pure rings that were inspired by work done for Stanley-Reisner rings.