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Lyubeznik Numbers Of Unmixed Edge Ideals, Sara Rae Jones
Lyubeznik Numbers Of Unmixed Edge Ideals, Sara Rae Jones
Graduate Theses and Dissertations
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.