7 papers · 1 filter
The WittVectors package for Macaulay2
Anne Fayolle, Abhay Goel, Devlin Mallory +2
We implement a Macaulay2 package for computations involving rings of truncated Witt vectors of a finitely generated $\F_p$-algebra . This package includes ring operatio…
Bernstein-Sato theory modulo
Thomas Bitoun, Eamon Quinlan-Gallego
For fixed prime integer we develop a notion of Bernstein-Sato polynomial for polynomials with -coefficients, compatible with existing theory in the case $…
Flat morphisms with regular fibers do not preserve -rationality
Eamon Quinlan-Gallego, Austyn Simpson, Anurag K. Singh
For each positive prime integer we construct a standard graded -rational ring , over a field of characteristic , such that is not -rati…
A formalism of -modules for rings with complete local finite -representation type
Eamon Quinlan-Gallego
We develop a formalism of unit -modules in the style of Lyubeznik and Emerton-Kisin for rings which have finite -representation type after localization and completion at ever…
Bernstein-Sato theory for singular rings in positive characteristic
Jack Jeffries, Luis Núñez-Betancourt, Eamon Quinlan-Gallego
The Bernstein-Sato polynomial is an important invariant of an element or an ideal in a polynomial ring or power series ring of characteristic zero, with interesting connections to…
Bernstein-Sato roots for monomial ideals in positive characteristic
Eamon Quinlan-Gallego
Following work of Mustaţă and Bitoun we recently developed a notion of Bernstein-Sato roots for arbitrary ideals, which is a prime characteristic analogue for the roots of the Bern…
Bernstein-Sato theory for arbitrary ideals in positive characteristic
Eamon Quinlan-Gallego
Mustaţă defined Bernstein-Sato polynomials in prime characteristic for principal ideals and proved that the roots of these polynomials are related to the -jumping numbers of the…