On the ideals with constant depth function

Time: 14:00 to  15:00 Ngày 26/04/2016

Venue/Location: C2-714

Content:

Let S=k[x_1,x_2,…,x_n] be a polynomial ring over a field k and I be a homogeneous ideal in S. By Brodmann’s result (1979), we have that there exists a positive integer k_0  such that depth(S/I^k) =depth(S/I^(k_0 )) for all k≥k_0. We recall the definition of the ideal with constant depth function in the case k_0=1.  In this talk, we will give a condition for I to be a constant depth function and discuss about some remarks on this topic.