Date of Graduation
Doctor of Philosophy in Mathematics (PhD)
Lance E. Miller
Second Committee Member
Bass Numbers, Clique Graphs, Edge Ideals, Local Cohomology, Lyubeznik Numbers
Lyubeznik numbers, defined in terms of local cohomology, are invariants of local rings that are able to detect many algebraic and geometric properties. Notably they recognize topological behaviors of various structures associated to their rings. We will discuss computations of these numbers for unmixed edge ideals by giving a completely combinatorial construction which realizes the connectedness information captured by these numbers.
Jones, S. R. (2022). Lyubeznik Numbers of Unmixed Edge Ideals. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/4761