Research
Title : | Homological Invariants of Powers of Square-free Monomial Ideals |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Ajay Kumar, Indian Institute Of Technology (IIT) Jammu, Jammu and Kashmir |
Timeline Start Year : | 2023 |
Timeline End Year : | 2026 |
Contact info : | ajay.kumar@iitjammu.ac.in |
Details
Executive Summary : | 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 ∆. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Technology (IIT) Jammu, Jammu and Kashmir Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source :Science and Engineering Research Board (SERB), DST 2022-23 | |