9 citations · 17 across the 9 of their papers we have counts for
7 papers · 1 filter
On Lengths of
Fiona Han, Jennifer Kenkel, Daniel Li +2
In this paper, we provide a formula for the vector space dimension of the ring over when all li…
Asymptotic Behavior of Differential Powers
Jennifer Kenkel, Lillian McPherson, Janet Page +3
In this paper, we study the differential power operation on ideals. We begin with a focus on monomial ideals in characteristic 0 and find a class of ideals whose differential power…
Lower Bounds on the F-pure Threshold and Extremal Singularities
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
We prove that if is a reduced homogenous polynomial of degree , then its -pure threshold at the unique homogeneous maximal ideal is at least . We show, fur…
Cubic Surfaces of Characteristic Two
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
Cubic surfaces in characteristic two are investigated from the point of view of prime characteristic commutative algebra. In particular, we prove that, the non-Frobenius split cubi…
Isomorphisms Between Local Cohomology Modules As Truncations of Taylor Series
Jennifer Kenkel
Let be a standard graded polynomial ring that is finitely generated over a field, and let be a homogenous prime ideal of . Bhatt, Blickle, Lyubeznik, Singh, and Zhang ex…
-nilpotent rings and permanence properties
Jennifer Kenkel, Kyle Maddox, Thomas Polstra +1
We explore the singularity classes -nilpotent, weakly -nilpotent, and generalized weakly -nilpotent under faithfully flat local ring maps. As an application, we show that…
Lengths of Local Cohomology of Thickenings
Jennifer Kenkel
Let be a standard graded polynomial ring that is finitely generated over a field of characteristic , let be the homogeneous maximal ideal of , and let …