Results 1 to 10 of about 96 (95)
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.
Fatima Tul Zahra +2 more
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Castelnuovo–Mumford Regularity and Powers [PDF]
, 2021 The paper is dedicated to David Eisenbud on the occasion of his seventy-fifth ...
Bruns W., Conca A., Varbaro M.
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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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Joins, ears and Castelnuovo–Mumford regularity [PDF]
Journal of Algebra, 2020 We introduce a new class of polynomial ideals associated to a simple graph, $G$. Let $K[E_G]$ be the polynomial ring on the edges of $G$ and $K[V_G]$ the polynomial ring on the vertices of $G$. We associate to $G$ an ideal, $I(X_G)$, defined as the preimage of $(x_i^2-x_j^2 : i,j\in V_G)\subseteq K[V_G]$ by the map $K[E_G]\to K[V_G]$ which sends a ...
J. Neves, M. Vaz Pinto, R.H. Villarreal
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Multigraded Castelnuovo-Mumford regularity [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian group. As in the standard graded case, our definition of multigraded regularity involves the vanishing of graded components of local cohomology.
Maclagan, Diane, Smith, Gregory G.
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Castelnuovo-Mumford Regularity of Graphs [PDF]
Combinatorica, 2018 We present new combinatorial insights into the calculation of (Castelnuovo-Mumford) regularity of graphs.
BIYIKOGLU, Turker, CİVAN, Yusuf
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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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Castelnuovo–Mumford Regularity up to Symmetry [PDF]
International Mathematics Research Notices, 2020 AbstractWe study the asymptotic behavior of the Castelnuovo–Mumford regularity along chains of graded ideals in increasingly larger polynomial rings that are invariant under the action of symmetric groups. A linear upper bound for the regularity of such ideals is established. We conjecture that their regularity grows eventually precisely linearly.
Van Le, Dinh +3 more
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No short polynomials vanish on bounded rank matrices
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1791-1807, August 2023., 2023 Abstract We show that the shortest non‐zero polynomials vanishing on bounded‐rank matrices and skew‐symmetric matrices are the determinants and Pfaffians characterising the rank. Algebraically, this means that in the ideal generated by all t$t$‐minors or t$t$‐Pfaffians of a generic matrix or skew‐symmetric matrix, one cannot find any polynomial with ...
Jan Draisma, Thomas Kahle, Finn Wiersig
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On subvarieties of singular quotients of bounded domains
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022 Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel +2 more
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