On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals
From MaRDI portal
Publication:1297958
DOI10.1007/PL00004668zbMath0931.13015OpenAlexW2046255229MaRDI QIDQ1297958
Publication date: 23 February 2000
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004668
Multiplicity theory and related topics (13H15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Related Items
On the regularity of product of irreducible monomial ideals, Bi-sequentially Cohen–Macaulay bipartite graphs, Maximal generating degrees of powers of homogeneous ideals, Depth and regularity modulo a principal ideal, Stanley-Reisner rings with large multiplicities are Cohen-Macaulay, Castelnuovo-Mumford regularity of initial ideals, Sequentially cohen-macaulay matroidal ideals, Asymptotic behavior of representations of graded categories with inductive functors, Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings, Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals, On the Regularity of Operations of Ideals, ON A CLASS OF MONOMIAL IDEALS, Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals, Evaluations of initial ideals and Castelnuovo-Mumford regularity, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal, Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals, Maximal independent sets and regularity of graphs, Bounds for Arithmetic Degrees, Rationality of equivariant Hilbert series and asymptotic properties, Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two, Arithmetical rank of squarefree monomial ideals of small arithmetic degree, Four counterexamples in combinatorial algebraic geometry, On the regularity of products and intersections of complete intersections, Multiplicity and Castelnuovo-Mumford regularity of Stanley-Reisner rings, Castelnuovo-Mumford regularity of simplicial toric rings.
