4 citations · 4 across the 1 of their papers we have counts for
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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.
Extensions of primes, flatness, and intersection flatness
Melvin Hochster, Jack Jeffries
We study when has the property that prime ideals of extend to prime ideals or the unit ideal of , and the situation where this property continues to hold after adj…
Faithfulness of Top Local Cohomology Modules in Domains
Melvin Hochster, Jack Jeffries
We study the conditions under which the highest nonvanishing local cohomology module of a domain with support in an ideal is faithful over , i.e., which guarantee that $…
A transformation rule for natural multiplicities
Jack Jeffries, Ilya Smirnov
For multiplicities arising from a family of ideals we provide a general approach to transformation rules for a ring extension étale in codimension one. Our result can be applied to…
Quantifying singularities with differential operators
Holger Brenner, Jack Jeffries, Luis Núñez-Betancourt
The -signature of a local ring of prime characteristic is a numerical invariant that detects many interesting properties. For example, this invariant detects (non)singularity an…
Polarization of Neural Rings
Sema Gunturkun, Jack Jeffries, Jeffrey Sun
The "neural code" is the way the brain characterizes, stores, and processes information. Unraveling the neural code is a key goal of mathematical neuroscience. Topology, coding the…