2023/09/29 by Betti, Barbara, Moscariello, Alessio, Romeo, Francesco +1
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2309.17376
In this paper, by using a combinatorial approach, we establish a new upper bound for the F-threshold c^\mm(\mm) of determinantal rings generated by maximal minors. We prove that c^\mm(\mm) coincides with the a-invariant in the case of 3× n and 4× n matrices and we conjecture such equality holds for all matrices.