Results 11 to 20 of about 96 (95)
Geometric collections and Castelnuovo–Mumford regularity [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2007 AbstractThe paper begins by overviewing the basic facts on geometric exceptional collections. Then we derive, for any coherent sheaf $\cF$ on a smooth projective variety with a geometric collection, two spectral sequences: the first one abuts to $\cF$ and the second one to its cohomology.
Costa, L., Miró-Roig, R. M.
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Complete moduli of cubic threefolds and their intermediate Jacobians
Proceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021 Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin +3 more
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Castelnuovo–Mumford regularity in biprojective spaces [PDF]
advg, 2004 Abstract We define the concept of regularity for bigraded modules over a bigraded polynomial ring. In this setting we prove analogs of some of the classical results on m-regularity for graded modules over polynomial algebras.
Hoffman, J. William, Wang, Hao Hao
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Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Elimination ideals are regarded as a special type of Borel type ideals, obtained from degree sequence of a graph, introduced by Anwar and Khalid. In this paper, we compute graphical degree stabilities of Kn∨Cm and Kn∗Cm by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to ...
Zongming Lv +4 more
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Multigraded Castelnuovo–Mumford regularity via Klyachko filtrations [PDF]
Forum Mathematicum, 2021 AbstractIn this paper, we considerℤr{\mathbb{Z}^{r}}-graded modules on theCl(X){\operatorname{Cl}(X)}-graded Cox ringℂ[x1,…,xr]{\mathbb{C}[x_{1},\ldots,x_{r}]}of a smooth complete toric varietyX. Using the theory of Klyachko filtrations in the reflexive case, we construct a collection of lattice polytopes codifying the multigraded Hilbert function of
Rosa M. Miró-Roig, Martí Salat-Moltó
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The Regularity of Some Families of Circulant Graphs
Mathematics, 2019 We compute the Castelnuovo−Mumford regularity of the edge ideals of two families of circulant graphs, which includes all cubic circulant graphs.
Miguel Eduardo Uribe-Paczka +1 more
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Castelnuovo–Mumford regularity and Segre–Veronese transform [PDF]
Journal of Algebra and Its Applications, 2016 In this paper we give a nice formula for the Castelnuovo–Mumford regularity of the Segre product of modules, under some suitable hypotheses. This extends recent results of David A. Cox, and Evgeny Materov (2009).
Morales, Marcel, Nguyen Thi, Dung
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Castelnuovo–Mumford regularity and Ratliff–Rush closure [PDF]
Journal of Algebra, 2018 16 pages; to appear in Journal of ...
Rossi, ME, Trung, DT, Trung, NV
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Saturation and Castelnuovo–Mumford regularity
Journal of Algebra, 2006 Formulae for the (Castelnuovo-Mumford) regularity reg\((I)\) and for other cohomological invariants of a homogeneous ideal \(I\) of a polynomial ring over a field \(k\) are proven; the methods are effective, i. e. can be realized in a computer algebra system - this was done by the authors (SINGULAR) and is also explained in the paper.
Bermejo, Isabel, Gimenez, Philippe
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A remark on sequentially Cohen-Macaulay monomial ideals [PDF]
Transactions on CombinatoricsLet $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. We show that if $G$ is a connected graph with a basic $5$-cycle $C$, then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$ of $
Mozhgan Koolani, Amir Mafi
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