59 citations · 164 across the 37 of their papers we have counts for
38 papers
Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras
Colin Alstad, Timothy Duff, Mordechai Katzman
Motivated by applications of algebraic geometry to reconstruction problems in computer vision, we initiate a study of the equations of degeneracy loci associated with linearly depe…
A note on freeness
Mordechai Katzman
In this brief note we show that for a field extension , is a free -module precisely when is finite. We then raise the ques…
Lyubeznik numbers, -modules and modules of generalized fractions
Mordechai Katzman, Rodney Y. Sharp
This paper presents an algorithm for calculation of the Lyubeznik numbers of a local ring which is a homomorphic image of a regular local ring of prime characteristic. The meth…
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…
Strong -regularity and generating morphisms of local cohomology modules
Mordechai Katzman, Cleto B. Miranda-Neto
We establish a criterion for the strong -regularity of a (non-Gorenstein) Cohen-Macaulay reduced complete local ring of dimension at least , containing a perfect field of pri…
Multiplicity bounds in prime characteristic
Mordechai Katzman, Wenliang Zhang
We extend a result by Huneke and Watanabe bounding the multiplicity of -pure local rings of prime characteristic in terms of their dimension and embedding dimensions to the case…