Turkish Journal of Mathematics
Abstract
In a recent paper, De Stefani and N\'{u}\~{n}ez-Betancourt proved that for a standard-graded $F$-pure $k$-algebra $R$, its diagonal $F$-threshold $c(R)$ is always at least $-a(R)$, where $a(R)$ is the $a$-invariant. In this paper, we establish a refinement of this result in the setting of complete intersection rings.
DOI
10.3906/mat-1812-55
Keywords
Frobenius power, socle, $F$-threshold, $F$-pure threshold, $a$-invariant
First Page
1372
Last Page
1376
Recommended Citation
LI, J (2019). An inequality on diagonal $F$-thresholds over standard-graded complete intersection rings. Turkish Journal of Mathematics 43 (3): 1372-1376. https://doi.org/10.3906/mat-1812-55
