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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
Graded rings associated with contracted ideals
Aldo Conca, Emanuela De Negri, A. V. Jayanthan +1
By definition, an $\m$-primary ideal in a 2-dimensional regular local ring $(R, \m)$ is contracted if $I=R \cap IR[\m/x]$ for some $x \in \m \setminus \m^2$. Contracted ideals…