17 citations · 48 across the 20 of their papers we have counts for
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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 polynomials in commutative algebra
Josep Àlvarez Montaner, Jack Jeffries, Luis Núñez-Betancourt
This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.
A Jacobian criterion for nonsingularity in mixed characteristic
Melvin Hochster, Jack Jeffries
We give a version of the usual Jacobian characterization of the defining ideal of the singular locus in the equal characteristic case: the new theorem is valid for essentially affi…
A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction of a new type of diff…
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…