38 citations · 56 across the 7 of their papers we have counts for
8 papers
Diagonal F-splitting and Symbolic Powers of Ideals
Daniel Smolkin
Let be any ideal in a strongly -regular, diagonally -split ring essentially of finite type over an -finite field. We show that $J^{s+t} \subseteq τ(J^{s - ε}) τ(J^…
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…
RationalMaps, a package for Macaulay2
C. J. Bott, S. Hamid Hassanzadeh, Karl Schwede +1
This paper describes the RationalMaps package for Macaulay2. This package provides functionality for computing several aspects of rational maps such as whether a map is birational,…
The TestIdeals package for Macaulay2
Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova +7
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, -linear and -l…
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 Uniform Symbolic Topology Property for Diagonally -regular Algebras
Javier Carvajal-Rojas, Daniel Smolkin
Let be a field of positive characteristic. Building on the work of the second named author, we define a new class of -algebras, called diagonally -regular algebras, for w…
A New Subadditivity Formula for Test Ideals
Daniel Smolkin
We exhibit a new subadditivity formula for test ideals on singular varieties using an argument similar to those of Demailly-Ein-Lazarsfeld and Hara-Yoshida. Any subadditivity formu…
The Maximum Likelihood Degree of Toric Varieties
Carlos Améndola, Nathan Bliss, Isaac Burke +6
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial param…