2023/12/12 by Koley, Mitra, Kumar, Arvind
#13A18 #13A30 #13A35 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2312.07761
In this article, we extend the notion of the F-thresholds of ideals to the F-thresholds for filtrations of ideals. The existence of F-thresholds of filtrations are established for various types of filtrations. Moreover, various necessary and sufficient conditions for finiteness of F-thresholds are given. We also give some effective upper bounds of the symbolic F-thresholds. A sufficient condition for symbolic F-splitting in terms of its symbolic F-threshold is given. We compute the symbolic F-thresholds of various determinantal ideals, F-König ideals, and many more.