Add to ORKGWe compute and study two determinantal representations of the discriminant of a cubic quaternary form. The first representation is the Chow form of the 2-uple embedding of P3 and is computed as the Pfaffian of the Chow form of a rank 2 Ulrich bundle on this Veronese variety. We then consider the determinantal representation described by Nanson. Weinvestigate the geometric nature of cubic surfaces whose discriminant matrices satisfy certain rank conditions. As a special case of interest, we use certain minors of this matrix to suggest equations vanishing on the locus of $k$-nodal cubic surfaces
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
In this paper we explore determinantal representations of multiaffine polynomials and consequences f...
AbstractWe give the first exact determinantal formula for the resultant of an unmixed sparse system ...
The discriminant of a smooth plane cubic curve over the complex numbers can be written as a product ...
Abstract. For every smooth (irreducible) cubic surface S we give an explicit con-struction of a repr...
We consider a smooth cubic surface S and its determinantal representations. The equivalence classes ...
We express the Hessian discriminant of a cubic surface in terms of fundamental invariants. This answ...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The classical discriminant D_n of degree n polynomials detects whether a given univariate polynomial...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The question which equations of hypersurfaces in the complex projective space can be expressed as th...
We explore the connection between the rank of a polynomial and the singularities of its vanishing lo...
AbstractWe give an elementary proof, only using linear algebra, of a result due to Helton, Mcculloug...
AbstractDeterminantal representations of algebraic curves are interesting in themselves, and their c...
Thesis (Ph.D.)--University of Washington, 2022Research in algebraic geometry has interfaces with oth...
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
In this paper we explore determinantal representations of multiaffine polynomials and consequences f...
AbstractWe give the first exact determinantal formula for the resultant of an unmixed sparse system ...
The discriminant of a smooth plane cubic curve over the complex numbers can be written as a product ...
Abstract. For every smooth (irreducible) cubic surface S we give an explicit con-struction of a repr...
We consider a smooth cubic surface S and its determinantal representations. The equivalence classes ...
We express the Hessian discriminant of a cubic surface in terms of fundamental invariants. This answ...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The classical discriminant D_n of degree n polynomials detects whether a given univariate polynomial...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The question which equations of hypersurfaces in the complex projective space can be expressed as th...
We explore the connection between the rank of a polynomial and the singularities of its vanishing lo...
AbstractWe give an elementary proof, only using linear algebra, of a result due to Helton, Mcculloug...
AbstractDeterminantal representations of algebraic curves are interesting in themselves, and their c...
Thesis (Ph.D.)--University of Washington, 2022Research in algebraic geometry has interfaces with oth...
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This oper...
In this paper we explore determinantal representations of multiaffine polynomials and consequences f...
AbstractWe give the first exact determinantal formula for the resultant of an unmixed sparse system ...