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math.AC2026
Superlinear regularity of Frobenius powers on a normal hypersurface
Tran Nam Trung, Hoang Le Truong
We give answers to four questions on linear bounds for Frobenius powers. Let denote the homogeneous maximal ideal. We construct a height-two prime in a geometrica…
math.AC2026
Hilbert-Kunz multiplicities of powers of ideals and normalized Hilbert coefficients
Tran Nam Trung, Hoang Le Truong
We give negative answers to two questions of Smirnov on Hilbert coefficients of Frobenius powers and Hilbert-Kunz multiplicities of ordinary powers. We construct complete normal Co…
math.AC2026
Density functions for filtrations of graded ideals
Suprajo Das, Hoang Le Truong
We study density functions associated with filtrations of graded ideals in standard graded domains. Extending earlier work, we develop a general theory for arbitrary filtrations an…