Results 21 to 30 of about 3,151 (106)
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
openaire +2 more sources
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
openaire +4 more sources
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
wiley +1 more source
On the Reduction Numbers and the Castelnuovo-Mumford Regularity of Projective Monomial Curves [PDF]
Journal of Algebra and its Applications, 2021 These notions were introduced by Northcott and Rees [7] and play an important role in the theory of integral closure and in the study of the blow-up rings, see e.g. [11, 15]. Let R be a finitely generated standard graded algebra over a field k and let R+
Tran Thi Gia Lam
semanticscholar +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
openaire +2 more sources
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
doaj +1 more source
Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity [PDF]
, 2019 We give an explicit formula for the degree of the Grothendieck polynomial of a Grassmannian permutation and a closely related formula for the Castelnuovo-Mumford regularity of the Schubert determinantal ideal of a Grassmannian permutation.
Jenna Rajchgot +4 more
semanticscholar +1 more source