12 citations · 36 across the 13 of their papers we have counts for
13 papers
Maximal skew sets of lines on a Hermitian surface and a modified Bron-Kerbosch algorithm
Anna Brosowsky, Haoyu Du, Madhav Krishna +3
In this paper, we study maximal sets of skew lines on Hermitian surfaces. We give a new algorithm to compute these sets and give some computational results for Hermitian surfaces o…
Differential operators, retracts, and toric face rings
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
We give explicit descriptions of rings of differential operators of toric face rings in characteristic . For quotients of normal affine semigroup rings by radical monomial ideal…
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…
Geometry of Smooth Extremal Surfaces
Anna Brosowsky, Janet Page, Tim Ryan +1
We study the geometry of the smooth projective surfaces that are defined by Frobenius forms, a class of homogenous polynomials in prime characteristic recently shown to have minima…
An illustrated view of differential operators of a reduced quotient of an affine semigroup ring
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
Through examples, we illustrate how to compute differential operators on a quotient of an affine semigroup ring by a radical monomial ideal, when working over an algebraically clos…
Classification of Frobenius Forms in five variables
Zhibek Kadyrsizova, Janet Page, Jyoti Singh +3
We classify Frobenius forms, a special class of homogeneous polynomials in characteristic , in up to five variables over an algebraically closed field. We also point out some…
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…
Non-Gorenstein loci of Ehrhart rings of chain and order polytopes
Mitsuhiro Miyazaki, Janet Page
Let be a finite poset, a field, and (resp. ) the order (resp. chain) polytope of . We study the non-Gorenstein locus of (resp. ), the…
Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings
Jürgen Herzog, Fatemeh Mohammadi, Janet Page
The trace of the canonical module of a Cohen-Macaulay ring describes its non-Gorenstein locus. We study the trace of the canonical module of a Segre product of algebras, and we app…
Symbolic and Ordinary Powers of Ideals in Hibi Rings
Janet Page, Daniel Smolkin, Kevin Tucker
We exhibit a class of Hibi rings which are diagonally F-regular over fields of positive characteristic, and diagonally -regular type over fields of characteristic zero, in the s…
The Frobenius complexity of Hibi rings
Janet Page
We study the Frobenius complexity of Hibi rings over fields of characteristic . In particular, for a certain class of Hibi rings (which we call -level), we compute…
-singularities under generic linkage
Linquan Ma, Janet Page, Rebecca R. G. +2
Let be a polynomial ring over a prefect field of positive characteristic. Let be an unmixed ideal in and let be a generic link of in $S=R[u_{ij…