33 citations · 59 across the 16 of their papers we have counts for
21 papers
Smooth Herzog projective curves
Hang Huang, Yevgeniya Tarasova, Matteo Varbaro +1
We prove that smooth projective curves admitting a squarefree Groebner degeneration have genus 0.
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…
Bernstein's inequality and holonomicity for certain singular rings
Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries +3
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly…
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…
Bernstein-Sato functional equations, -filtrations, and multiplier ideals of direct summands
Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries +3
This paper investigates the existence and properties of a Bernstein-Sato functional equation in nonregular settings. In particular, we construct -modules in which such formal eq…