Reza Abdolmaleki, Jürgen Herzog, Rashid Zaare-Nahandi: On the initial behaviour of the number of generator of powers of monomial ideals, 119-129

Abstract:

Given a number $q$, we construct a monomial ideal $I$ with the property that the function which describes the number of generators of $I^k$ has at least $q$ local maxima.

Key Words: Monomial ideals, powers of ideals, number of generators.

2010 Mathematics Subject Classification: Primary 13F20; Secondary 13H10, 05E40.