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math.AC2026
Saturation degree of powers of graded ideals
Le Tuan Hoa, Hop Dang Nguyen, Ngo Viet Trung
Let be a non-nilpotent graded ideal of a standard graded algebra over a Noetherian commutative ring. We show that the saturation degree sdeg is asymptotically a constant…
math.AC2026
New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
Le Tuan Hoa, Doan Quang Tien
A monomial curve is defined by a sequence of coprime integers . One gap of this sequence is . Gruson--Lazarsfeld--Peskine…