Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles [PDF]
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
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Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs. [PDF]
HeliyonWe compute the Castelnuovo-Mumford regularity of the quotient rings of edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs.
Tul Zahra F, Ishaq M, Aljohani S.
europepmc +2 more sources
Multigraded Castelnuovo–Mumford regularity via Klyachko filtrations [PDF]
Forum Mathematicum, 2021 In this paper, we consider ℤr{\mathbb{Z}^{r}}-graded modules on the Cl(X){\operatorname{Cl}(X)}-graded Cox ring ℂ[x1,…,xr]{\mathbb{C}[x_{1},\ldots,x_{r}]} of a smooth complete toric variety X.
R. Mir'o-Roig, Martí Salat-Moltó
semanticscholar +5 more sources
The v-number and Castelnuovo–Mumford regularity of graphs [PDF]
Journal of Algebraic Combinatorics, 2022 We prove that for every integer $$k\ge 1$$ k ≥ 1 , there exists a connected graph $$H_k$$ H k such that $$v(H_k)={\text {reg}}(H_k)+k$$ v ( H k ) = reg ( H k ) + k , where v ( G ) and $${\text {reg}}(G)$$ reg ( G ) denote the v -number and the ...
Yusuf Civan
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Castelnuovo–Mumford Regularity of Projective Monomial Curves via Sumsets [PDF]
Mediterranean Journal of Mathematics, 2023 Let $$A=\{a_0,\ldots ,a_{n-1}\}$$ A = { a 0 , … , a n - 1 } be a finite set of $$n\ge 4$$ n ≥ 4 non-negative relatively prime integers, such that $$0 ...
P. Gimenez, Mario Gonz'alez-S'anchez
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Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals [PDF]
International journal of algebra and computation, 2022 In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions.
Luca Amata, M. Crupi, A. Ficarra
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The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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On reduction numbers and Castelnuovo–Mumford regularity of blowup rings and modules [PDF]
Collectanea Mathematica, 2022 We prove new results on the interplay between reduction numbers and the Castelnuovo–Mumford regularity of blowup algebras and blowup modules, the key basic tool being the operation of Ratliff–Rush closure.
Cleto B. Miranda-Neto, D. S. Queiroz
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Bounds for the minimum distance function
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI, when I is an F -pure or a square-free monomial ...
Núñez-Betancourt Luis +2 more
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Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals [PDF]
, 2021 We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear relations.
G. Caviglia, A. D. Stefani
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