Ph.D. Dissertation at the University of Basrah Explores Affine Sets of the Orlik–Solomon Algebra
A doctoral dissertation at the College of Science, University of Basrah, examined the affine sets of the Orlik–Solomon algebra for a graphic supersolvable arrangement.
The dissertation, submitted by Nouman Yassin Ne’ma, aims to investigate the computation of the first non-vanishing cohomology groups of the Orlik–Solomon algebra within the framework of graphic arrangements associated with supersolvable graphs.
The study highlighted the potential of employing the combinatorial topological duality between these graphs and their arrangements. Drawing on matroid theory, the structural framework of A(AG)^* for the arrangement of graphs AG was transferred in order to reconstruct A(G)^* directly from the theoretical data of the graphs.
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