4 papers
Projectively full ideals in Noetherian rings, a survey
Catalin Ciuperca, William Heinzer, Jack Ratliff +1
We discuss projective equivalence of ideals in Noetherian rings and the existence or failure of existence of projectively full ideals. We describe connections with the Rees valuati…
Asymptotic growth of powers of ideals
Catalin Ciuperca, Florian Enescu, Sandra Spiroff
Let A be a locally analytically unramified local ring and let J_1,...,J_k,I be ideals in A. If C=C(J_1,...,J_k;I) is the cone generated by the (k+1)-tuples (m_1,...,m_k,n) such tha…
An inequality involving tight closure and parameter ideals
Catalin Ciuperca, Florian Enescu
We establish an inequality involving colengths of the tight closure of ideals of systems of parameters in local rings with some mild conditions. As an application, we prove and ref…
A numerical characterization of the S_2-ification of a Rees algebra
Catalin Ciuperca
Let A be a local ring with maximal ideal m. For an arbitrary ideal I of A, we define the generalized Hilbert coefficients j_k(I) \in Z^{k+1} (k=0,1,...,dim A). When the ideal I is…