The depth of powers of an ideal

Abstract

We study the limit and initial behavior of the numerical function $f(k)=\depth S/I^k$. General properties of this function together with concrete examples arising from combinatorics are discussed.

References in corpus (3)

• Castelnuovo-Mumford regularity of products of ideals
• Some asymptotic properties of the Rees powers of a module
• On the radical of a monomial ideal