2 citations · 4 across the 5 of their papers we have counts for
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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…
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…
Depth of associated graded rings via Hilbert coefficients of ideals
Alberto Corso, Claudia Polini, Maria Evelina Rossi
Given a local Cohen-Macaulay ring , we study the interplay between the integral closedness -- or even the normality -- of an -primary -ideal $…
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…
Notes on the behavior of the Ratliff-Rush filtration
Maria Evelina Rossi, Irena Swanson
We establish new classes of Ratliff-Rush closed ideals and some pathological behavior of the Ratliff-Rush closure. In particular, Ratliff-Rush closure does not behave well under pa…