12 citations · 13 across the 4 of their papers we have counts for
5 papers · 1 filter
Gröbner bases of simplicial toric ideals
M. Hellus, J. Stueckrad, L. T. Hoa
Bounds for the maximal degree of certain Gröbner bases of simplicial toric ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Casteln…
Castelnuovo-Mumford regularity and reduction number of smooth monomial curves
Michael Hellus, Lê Tuân Hoa, Jürgen Stückrad
We compare, for smooth monomial projective curves, the Castel- nuovo-Mumford regularity and the reduction number; we present an example where these two numbers differ. However, we…
Stability of associated primes of monomial ideals
Lê Tuân Hoa
Let be a monomial ideal of a polynomial ring . In this paper we determine a number such that $\Ass (I^n/I^{n+1}) = \Ass (I^{B}/I^{B+1})$ for all .
Borel-fixed ideals and reduction number
Le Tuan Hoa, Ngo Viet Trung
The aim of this paper is to study the relationship between reduction numbers and Borel-fixed ideals in all characteristics. By definition, Borel-fixed ideals are closed under certa…
Asymptotic linear bounds for the Castelnuovo-Mumford regularity
Juergen Herzog, Le Tuan Hoa, Ngo Viet Trung
We prove asymptotic linear bounds for the Castelnuovo-Mumford regularity of certain filtrations of homogeneous ideals whose Rees algebras need not to be Noetherian.