This is an expository account based mainly on an article by Jack Ohm titled “Space curves as ideal-theoretic intersections”. It also gives a proof of the fact that smooth space curves can be realized as set-theoretic complete intersections. The penultimate section proves the theorem of Cowsik and Nori: Curves in affine n-space of characteristic p are set-theoretic complete intersec
AbstractLet K be an arbitrary field and {d1,…,dn} a set of all-different positive integers. The aim ...
summary:In this paper we present some formulae for topological invariants of projective complete int...
AbstractLet V be a set of curves in the plane. The corresponding intersection graph has V as the set...
We give a necessary and sufficient condition for monomial curves in the three dimensional projective...
A multiple structure X on a smooth curve C ⊂ P3 is said to be primitive if it is locally contained i...
It is not known whether Macaulay's curve C-4 subset of IPk3 is a set-theoretic complete intersection...
Let C be a monomial curve in three-dimensional projective space over an algebraically closed field K...
We show that the edge ideals of some whisker graphs are set-theoretic complete intersections. 2010 M...
AbstractIn this paper we deal with the problem of the expression of monomial curves in the affine or...
AbstractLet I be the defining ideal of a smooth complete intersection space curve C with defining eq...
We deform monomial space curves in order to construct examples of set-theoretical complete intersect...
International audienceIn this paper, we develop a new approach to the discriminant of a complete int...
AbstractLet C be a monomial curve in affine four space defined by natural numbers n1, n2, n3 and n4....
Let I be the defining ideal of a smooth complete intersection space curve C with defining equations ...
AbstractAssume that the characteristic of the base field is zero. We give a necessary and sufficient...
AbstractLet K be an arbitrary field and {d1,…,dn} a set of all-different positive integers. The aim ...
summary:In this paper we present some formulae for topological invariants of projective complete int...
AbstractLet V be a set of curves in the plane. The corresponding intersection graph has V as the set...
We give a necessary and sufficient condition for monomial curves in the three dimensional projective...
A multiple structure X on a smooth curve C ⊂ P3 is said to be primitive if it is locally contained i...
It is not known whether Macaulay's curve C-4 subset of IPk3 is a set-theoretic complete intersection...
Let C be a monomial curve in three-dimensional projective space over an algebraically closed field K...
We show that the edge ideals of some whisker graphs are set-theoretic complete intersections. 2010 M...
AbstractIn this paper we deal with the problem of the expression of monomial curves in the affine or...
AbstractLet I be the defining ideal of a smooth complete intersection space curve C with defining eq...
We deform monomial space curves in order to construct examples of set-theoretical complete intersect...
International audienceIn this paper, we develop a new approach to the discriminant of a complete int...
AbstractLet C be a monomial curve in affine four space defined by natural numbers n1, n2, n3 and n4....
Let I be the defining ideal of a smooth complete intersection space curve C with defining equations ...
AbstractAssume that the characteristic of the base field is zero. We give a necessary and sufficient...
AbstractLet K be an arbitrary field and {d1,…,dn} a set of all-different positive integers. The aim ...
summary:In this paper we present some formulae for topological invariants of projective complete int...
AbstractLet V be a set of curves in the plane. The corresponding intersection graph has V as the set...