5 citations · 5 across the 4 of their papers we have counts for
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-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…
Counting geometric branches via the Frobenius map and -nilpotent singularities
Hailong Dao, Kyle Maddox, Vaibhav Pandey
We give an explicit formula to count the number of geometric branches of a curve in positive characteristic using the theory of tight closure. This formula readily shows that the p…
Rees algebras and generalized depth-like conditions in prime characteristic
Alessandra Costantini, Kyle Maddox, Lance Edward Miller
In this article we address a question concerning nilpotent Frobenius actions on Rees algebras and associated graded rings. We prove a nilpotent analog of a theorem of Huneke for Co…
Homological properties of pinched Veronese rings
Kyle Maddox, Vaibhav Pandey
Pinched Veronese rings are formed by removing an algebra generator from a Veronese subring of a polynomial ring. We study the homological properties of such rings, including the Co…