Results 81 to 90 of about 1,404 (215)

Local Cohomology at Monomial Ideals

Journal of Symbolic Computation, 2000
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n, in the spirit of the Stanley-Reisner theory. As a first application we give an isomorphism Tor_i(B', k)_p\iso Ext^{|p|-i}(R/B,R)_{-p} for all p in {0,1 ...
openaire   +3 more sources

Simplicial affine semigroups with monomial minimal reduction ideals [PDF]

, 2021
Marco D’Anna, Raheleh Jafari, Francesco Strazzanti   +2 more
openalex   +1 more source

On the K‐stability of blow‐ups of projective bundles

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley   +1 more source

Random Diophantine equations in the primes II

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Let d⩾2$d\geqslant 2$ and n⩾d$n\geqslant d$ with (d,n)∉{(2,2),(3,3)}$(d,n)\notin \lbrace (2,2),(3,3)\rbrace$. We consider homogeneous Diophantine equations of degree d$d$ in n+1$n+1$ variables and whether they have solutions in the primes.
Philippa Holdridge
wiley   +1 more source

Border Basis of an Ideal of Points and its Application in Experimental Design and Regression

پژوهش‌های ریاضی, 2020
Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei, Sare Goli, Amir Hashemi   +2 more
doaj  

Tameness of local cohomology of monomial ideals with respect to monomial prime ideals

Journal of Pure and Applied Algebra, 2007
In this paper we consider the local cohomology of monomial ideals with respect to monomial prime ideals and show that all these local cohomology modules are tame.
openaire   +2 more sources

Remarks on the Stanley depth and Hilbert depth of monomial ideals with linear quotients [PDF]

, 2021
Andreea I. Bordianu, Mircea Cimpoeaş
openalex   +1 more source

On Posets, Monomial Ideals, Gorenstein Ideals and their Combinatorics

Order
In this article we first compare the set of elements in the socle of an ideal of a polynomial algebra $K[x_1,\ldots,x_d]$ over a field $K$ that are not in the ideal itself and Macaulay's inverse systems of such polynomial algebras in a purely combinatorial way for monomial ideals, and then develop some closure operational properties for the related ...
Geir Agnarsson, Neil Epstein
openaire   +2 more sources

An algorithm to compute the Stanley depth of monomial ideals

Le Matematiche, 2008
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monomial ideals. We describe also an implementation in CoCoA.
Giancarlo Rinaldo
doaj  

Regularity of symbolic powers of square-free monomial ideals [PDF]

, 2021
Trương Thị Hiên, Trân Nam Trung
openalex   +1 more source