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Showing 1 to 3 of 3 for “"edge ideals"”.
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Homological invariants of some special varieties
… in P1×P1×P1 (called varieties of lines), and the edge ideals of bicyclic graphs. We study the Hilbert function of Ferrers varieties of lines, a special case of ACM variety of lines, and we describe the trigraded minimal free resolution of the defining ideal of a variety of lines arising from a …
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Koszul Complexes, Local Cohomology, Universal Resolutions, and Cohomological Support Varieties
… closure of certain local cohomology modules of ideals generated by regular sequences. We then explore various universal resolutions. Within this, we first provide an overview of DG algebras and universal resolutions. We then provide a survey concerning the relationship between some relatively …
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Koszul Homology and Resolutions over Commutative Rings
… formulas to study connections between J-closed ideals and the ideals by which they were inspired, namely, weak complete intersection ideals.</p> <p>As another application of such formulas, we study the Koszul homology algebra of quotients by edge ideals. We show that the Koszul homology algebra …