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Showing 1 to 5 of 5 for “"Castelnuovo-Mumford regularity"”.
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Homological invariants of some special varieties
… (e.g., graded Betti numbers, Hilbert function, regularity) of some special varieties. In particular, we focus on the codimension two ACM 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 …
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Generic lines in projective space and the Koszul property
… $n \leq 6$ or $m \leq 6$. We also determine the Castelnuovo-Mumford regularity of the coordinate ring for a generic collection of lines and the projective dimension of the coordinate ring of collections of lines in general linear position.
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Rees algebras and iterated Jacobian duals
… possible, we also study invariants such as the Castelnuovo-Mumford regularity and the relation type of the graph of Ψ. In the second setting we impose no constraints on the column degrees of the presentation matrix of <em>I</em>, but the number of generators of <em>I</em> is restricted to …
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Equivariant Schubert calculus and applications
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms
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Splines on polytopal complexes
… is equivalent to asking about the \textit{Castelnuovo-Mumford regularity} of the graded algebra $C^r(\wPC)$. In Chapter~\ref{ch:Regularity}, we provide bounds on the regularity of the algebra $C^\alpha(\Sigma)$ of mixed splines over a polyhedral fan $\Sigma\subset\R^3$. Our bounds recover …