Indian Institute Of Technology (IIT) Jammu, Jammu and Kashmir
Project Overview
PIs study the regularity and depth of powers of facet ideals I(∆) of a simplicial tree ∆. The first goal of this proposal is to prove that for a simplicial tree ∆ and s ≥ 1, reg(I(∆)^s) ≤ d(s-1)+reg(I(∆)), where d=max{|F|: F is a facet of ∆}. Another objective is to find the stabilization index Stab(I(∆)) and the constant, lim_{s→∞}depth(R/I(∆)^s) of I(∆) in terms of the combinatorial data associated with the simplicial tree ∆.
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23
Indian Institute Of Technology (IIT) Jammu, Jammu and Kashmir
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