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math.AC2026
On an ideal membership problem
Melvin Hochster, Jack Jeffries, Nawaj KC +1
Suppose are elements of a regular ring , where . The first author proved that ;…
math.AC2026
The variety of nilpotent matrices is -regular
Jack Jeffries, Vaibhav Pandey, Anurag K. Singh
We give an elementary proof that the coordinate ring of the variety of nilpotent matrices is -regular; over an infinite field , this ring also arises as the nullcone for the…
math.AC2026
Regularity is bounded on a quasi-excellent Noetherian scheme
Alessandro De Stefani, Jack Jeffries, Nawaj KC +1
A point of a scheme has an associated tangent cone, the spectrum of a standard graded algebra encoding the local singularity. Its homological complexity can be measured by its grad…