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math.AC2004
Castelnuovo-Mumford Regularity and finiteness of Hilbert Functions
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The notion of regularity has been used by S. Kleiman in the construction of bounded families of ideals or sheaves with given Hilbert polynomial, a crucial point in the construction…
math.AC2004
Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups
Huy Tai Ha, Ngo Viet Trung
This paper addresses problems related to the existence of arithmetic Macaulayfications of projective schemes. Let Y be the blow-up of a projective scheme X = Proj R along the ideal…
math.AC2004
On the core of ideals
Craig Huneke, Ngo Viet Trung
Our focus in this paper is in effective computation of the core core(I) of an ideal I which is defined to be the intersection of all minimal reductions of I. The first main result…