Add to ORKGLet $A=\{a_0,\ldots,a_{n-1}\}$ be a finite set of $n\geq 4$ non-negative relatively prime integers such that $0=a_0<a_1<\cdots<a_{n-1}=d$. The $s$-fold sumset of $A$ is the set $sA$ of integers that contains all the sums of $s$ elements in $A$. On the other hand, given an infinite field $k$, one can associate to $A$ the projective monomial curve $\mathcal{C}_A$ parametrized by $A$, \[ \mathcal{C}_A=\{(v^d:u^{a_1}v^{d-a_1}:\cdots :u^{a_{n-2}}v^{d-a_{n-2}}:u^d) \mid \ (u:v)\in\mathbb{P}^{1}_k\}\subset\mathbb{P}^{n-1}_k\,. \] The exponents in the previous parametrization of $\mathcal{C}_A$ define a homogeneous semigroup $\mathcal{S}\subset\mathbb{N}^2$. We provide several results relating the Castelnuovo-Mumford regularity of $\mathcal{C}_A$ t...
AbstractLet C be a monomial curve in affine four space defined by natural numbers n1, n2, n3 and n4....
AbstractIn this paper we deal with the problem of the expression of monomial curves in the affine or...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
Let $A=\{a_0,\ldots,a_{n-1}\}$ be a finite set of $n\geq 4$ non-negative relatively prime integers s...
AbstractLet K be an algebraically closed field, and let V⊂PKn+1 be a projective monomial variety of ...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
AbstractGiven a homogeneous ideal I⊂K[x0,…,xn] defining a subscheme X of projective n-space PKn, we ...
AbstractWe compare several ways of describing how far the homogeneous coordinate ring of a projectiv...
Inspired by methods in prime characteristic in commutative algebra, we introduce and study combinato...
AbstractWe call a semigroup in the set of non-negative integers minimally generated by n1,n2,n3,n4 w...
Let $R$ be a commutative Noetherian ring of dimension $d$, $M$ a commutative cancellative torsion-fr...
AbstractWe show that the Eisenbud–Goto conjecture holds for (homogeneous) seminormal simplicial affi...
We characterise the numerical semigroups with a monotone Ap\'ery set (MANS-semigroups for abbreviate...
AbstractWe study the Hilbert function of certain projective monomial curves. We determine which of o...
We give a method for computing the degrees of the minimal syzygies of a toric variety by means of co...
AbstractLet C be a monomial curve in affine four space defined by natural numbers n1, n2, n3 and n4....
AbstractIn this paper we deal with the problem of the expression of monomial curves in the affine or...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
Let $A=\{a_0,\ldots,a_{n-1}\}$ be a finite set of $n\geq 4$ non-negative relatively prime integers s...
AbstractLet K be an algebraically closed field, and let V⊂PKn+1 be a projective monomial variety of ...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
AbstractGiven a homogeneous ideal I⊂K[x0,…,xn] defining a subscheme X of projective n-space PKn, we ...
AbstractWe compare several ways of describing how far the homogeneous coordinate ring of a projectiv...
Inspired by methods in prime characteristic in commutative algebra, we introduce and study combinato...
AbstractWe call a semigroup in the set of non-negative integers minimally generated by n1,n2,n3,n4 w...
Let $R$ be a commutative Noetherian ring of dimension $d$, $M$ a commutative cancellative torsion-fr...
AbstractWe show that the Eisenbud–Goto conjecture holds for (homogeneous) seminormal simplicial affi...
We characterise the numerical semigroups with a monotone Ap\'ery set (MANS-semigroups for abbreviate...
AbstractWe study the Hilbert function of certain projective monomial curves. We determine which of o...
We give a method for computing the degrees of the minimal syzygies of a toric variety by means of co...
AbstractLet C be a monomial curve in affine four space defined by natural numbers n1, n2, n3 and n4....
AbstractIn this paper we deal with the problem of the expression of monomial curves in the affine or...
This work is centered around the question How singular is a point on an algebraic or analytic varie...