AbstractWe compare several ways of describing how far the homogeneous coordinate ring of a projective monomial curve is from being Cohen–Macaulay. We give a number of examples and then use these ideas to show that the fraction of projective monomial curves of a given degree that are Cohen–Macaulay approaches zero as the degree goes to infinity
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers wi...
AbstractLet C⊆Prk be a non-degenerate projective curve of degree r+2, where r≥3. By means of the Har...
AbstractLet Γ be an algebraic curve which is given by an equation f(x, y) = 0, f(x, y) ∈ k[x, y] whe...
AbstractWe compare several ways of describing how far the homogeneous coordinate ring of a projectiv...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
AbstractWe study the Hilbert function of certain projective monomial curves. We determine which of o...
We study the Hilbert function of certain projective monomial curves. We determine which of our curve...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
Let K be a field and let n_1,...,n_e be a sequence of positive integers with gcd(n_1,...,n_e) =1 and...
AbstractLet d(q) denote the minimal degree of a smooth projective plane curve that is defined over t...
In memory of Robert F. Coleman, who pioneered the effective approach to Chabauty’s method Abstract. ...
A monomial curve is a curve parametrized by monomials. The degree of the secant variety of a monomia...
Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with...
In this article we study bases for projective monomial curves and the relationship between the basis...
For an arithmetically Cohen-Macaulay subscheme of projective space, there is a well-known bound for ...
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers wi...
AbstractLet C⊆Prk be a non-degenerate projective curve of degree r+2, where r≥3. By means of the Har...
AbstractLet Γ be an algebraic curve which is given by an equation f(x, y) = 0, f(x, y) ∈ k[x, y] whe...
AbstractWe compare several ways of describing how far the homogeneous coordinate ring of a projectiv...
AbstractIn this paper we continue the investigation of Cohen–Macaulay projective monomial curves beg...
AbstractWe study the Hilbert function of certain projective monomial curves. We determine which of o...
We study the Hilbert function of certain projective monomial curves. We determine which of our curve...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
Let K be a field and let n_1,...,n_e be a sequence of positive integers with gcd(n_1,...,n_e) =1 and...
AbstractLet d(q) denote the minimal degree of a smooth projective plane curve that is defined over t...
In memory of Robert F. Coleman, who pioneered the effective approach to Chabauty’s method Abstract. ...
A monomial curve is a curve parametrized by monomials. The degree of the secant variety of a monomia...
Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with...
In this article we study bases for projective monomial curves and the relationship between the basis...
For an arithmetically Cohen-Macaulay subscheme of projective space, there is a well-known bound for ...
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers wi...
AbstractLet C⊆Prk be a non-degenerate projective curve of degree r+2, where r≥3. By means of the Har...
AbstractLet Γ be an algebraic curve which is given by an equation f(x, y) = 0, f(x, y) ∈ k[x, y] whe...