2 citations · 2 across the 3 of their papers we have counts for
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math.AC2011
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…
math.AC2011★ 2 cited
-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 …
math.AC2011
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…