3 citations · 10 across the 12 of their papers we have counts for
4 papers · 1 filter
Generalized stretched ideals and Sally's Conjecture
Paolo Mantero, Yu Xie
Given a finite module over a Noetherian local ring $(R, \m)$, we introduce the concept of -stretched ideals on . Thanks to a crucial specialization lemma, we show that th…
On the Cohen-Macaulayness of the conormal module of an ideal
Paolo Mantero, Yu Xie
In the present paper we investigate a question stemming from a long-standing conjecture of Vasconcelos: given a generically a complete intersection perfect ideal I in a regular loc…
-multiplicity and depth of associated graded modules
Claudia Polini, Yu Xie
Let be a Noetherian local ring. We define the minimal -multiplicity and almost minimal -multiplicity of an arbitrary -ideal on any finite -module. For any ideal …
Formulas for the multiplicity of graded algebras
Yu Xie
Let be a standard graded Noetherian algebra over an Artinian local ring. Motivated by the work of Achilles and Manaresi in intersection theory, we first express the multiplicit…