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math.AC2026
-depth and -nilpotent rings: generalizations and applications
Kyle Maddox, Lance Edward Miller
Computation of the Frobenius closure of ideals in rings of prime characteristic is a difficult problem. For a given ideal, its Frobenius test exponent provides a valuable degree of…
math.AG2026
Derived jet and arc spaces
Roi Docampo, Lance Edward Miller, C. Eric Overton-Walker
We study jet schemes and arc spaces in the context of derived algebraic geometry. Explicitly, we consider the jet and arc functors in the category of schemes and study their animat…
math.AC2026
A Buchsbaum theory for Frobenius closure
Kriti Goel, Kyle Maddox, Lance Edward Miller +2
We give a partial characterization for when the difference is independent of the choice of parameter ideal in a…