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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.AC2002★ 2 cited
Castelnuovo-Mumford regularity and extended degree
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree. Fro…