4 papers · 1 filter
Homology multipliers and the relation type of parameter ideals
Ian M. Aberbach, Laura Ghezzi, Huy Tai Ha
We study the relation type question, raised by C. Huneke, which asks whether for a complete equidimensional local ring R there exists a uniform bound for the relation type of param…
Completions of valuation rings
Steven Dale Cutkosky, Laura Ghezzi
Let k be a field of characteristic zero, K an algebraic function field over k, and V a k-valuation ring of K. Zariski's theorem of local uniformization shows that there exist algeb…
Cohen-Macaulayness of special fiber rings
Alberto Corso, Laura Ghezzi, Claudia Polini +1
Let be a Noetherian local ring and let be an -ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayne…
The depth of the associated graded ring of ideals with any reduction number
Ian Aberbach, Laura Ghezzi, Huy Tai Ha
Let R be a local Cohen-Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G is not necessarily Cohen-Maca…